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Book Chapters and Conference Papers

C-1.   Nonlinear Dispersive Waves and Multi-phase Modes, M.J. Ablowitz, in Nonlinear Wave Motion, pp 127-124, Ed. A.C. Newell, Lectures in Applied Mathematics, American Mathematical Society, Providence, RI (1974).

C-2.   The Inverse Scattering Transform--Continuous and Discrete and its Relationship with Painlevé Transcendents, M.J. Ablowitz, in Nonlinear Evolution Equations Solvable by the Spectral Transform, pp 9-32, Ed. F. Calogero, Research Notes in Mathematics 26, Pitman, London (1978).

C-3.   Solitons, Solutions of Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J. Ablowitz, in Mathematical Methods and Applications of Scattering Theory, Eds. DeSanto, Saenz and Zachary, Lecture Notes in Physics, Vol. 130, Springer-Verlag, Berlin (1980).

C-4.   Solutions of an Internal Wave Equation Describing a Stratified Fluid with Finite Depth, J. Satsuma and M.J. Ablowitz, in Nonlinear Partial Differential Equations in Engineering & Applied Science, pp 397-414, Eds. R.L. Sternberg, A.J. Kalinowki and J.S. Papadakis, Marcel Dekker, Inc., NY (1980).

C-5.   Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, pp 663-664, Eds. R. Lerner, G. Trigg, Addison-Wesley, Reading, MA (1981).

C-6.   Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform, M.J. Ablowitz, in Nonlinear Phen. in Physics & Biology, pp. 83-94, Eds. R.H. Enns, B.L. Jones, R.M. Miura and S.S. Rangnekar, Plenum, NY (1981).

C-7.   Direct Linearization of the Korteweg-deVries Equation, A.S. Fokas and M.J. Ablowitz, in Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, pp. 237-241, Eds. M. Tabor and Y.M. Treve, AIP Conference Proceedings, No. 88, La Jolla Institute (1981).

C-8.   A Direct Linearization Associated with the Benjamin-Ono Equation, M.J. Ablowitz and A.S. Fokas, in Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems, pp. 229-236, Eds. M. Tabor and Y.M. Treve, AIP Conference Proceedings, No. 88, La Jolla Institute (1981).

C-9.   Comments on the Inverse Scattering Transform and Related Nonlinear Evolution Equations, M.J. Ablowitz and A.S. Fokas, in Nonlinear Phenomena, pp 1-15, Ed. K.B. Wolf, Lecture Notes in Physics, Vol. 189, Springer-Verlag, Berlin (1983).

C-10.   Lectures on the Inverse Scattering Transform for Multidimensional (2+1) Problems, A.S. Fokas and M.J. Ablowitz, in Nonlinear Phenomena, pp 137-183, Ed. K.B. Wolf, Lecture Notes in Physics, Vol 189, Springer-Verlag, Berlin (1983).

C-11.   Nonlinear Evolution Equations and Inverse Scattering in Multidimensions, M.J. Ablowitz, in Proceedings RIMS, Kyoto University Press (1984).

C-12.   Numerical Simulations of Certain Nonlinear Evolution Equations of Physical Interest, T.R. Taha and M.J. Ablowitz, in Advances in Computational Methods for Partial Differential Equations, Eds. V.R. Vichnevetsky and R.S. Stepleman, AICA, International Association for Analog Computation, Brunswick, NJ (1984).

C-13.   Note on the Inverse Scattering for First Order Multidimensional Systems, A. Nachman, A.S. Fokas and M.J. Ablowitz, in Nonlinear systems of Partial Differential Equations, pp 217-222, Eds. B. Nicolaenko, D. Holm, and J. Hyman, Lectures in Appl. Math., American Mathematical Society, Vol. 23, Providence, RI (1986).

C-14.   Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering, M.J. Ablowitz, in Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, pp 20-32, Eds. M.J. Ablowitz, M.D. Kruskal and B. Fuchssteiner, World Scientific, Singapore (1986).

C-15.   Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions, M.J. Ablowitz, in Solitons, pp 44-65, Ed. M. Lakshmanan, Springer Series in Nonlinear Dynamics, Springer-Verlag, Berlin (1988).

C-16.   Classical Poisson Bracket Relations and Quantum Commutation Relations for Davey- Stewartson, C.L. Schultz, M.J. Ablowitz, D. Bar Yaacov, in Nonlinear Evolutions, pp 437-448, Ed. J.P. Leon, World Scientific, Singapore (1988).

C-17.   Nonlinear Evolution Equations, Solitons and Cellular Automata, M.J. Ablowitz, in Singular Behavior and Nonlinear Dynamics, pp 1-26, Eds. St. Pneuvmatikos, T. Bountis, Sp. Pneuvmatikos, World Scientific, Singapore (1989).

C-18.   On Numerical Chaos in the Nonlinear Schrödinger Equation, B. Herbst and M.J. Ablowitz, in Integrable Systems and Applications, pp. 192-206, Eds. M. Balabane, P. Lochak, and C. Sulem, Lect. Notes in Physics, Vol. 342, Springer-Verlag, Berlin (1989).

C-19.   Nonlinear Evolution Equations, Solitons, Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Nonlinear Physics, pp 166-189, Research Reports in Physics, Eds. C. Gu, Y. Li. and G. Tu, Springer-Verlag, Berlin (1990).

C-20.   Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata, M.J. Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 1-26, Eds. P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin, (1990).

C-21.   Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms, M.J. Ablowitz, in Solitons in Physics, Mathematics and Nonlinear Optics, pp. 27-43, Eds. P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag, Berlin (1990).

C-22.   Solitons, Numerical Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst, J.M. Keiser, in Integrable Systems, pp 46-79, Ed. B. Kuperschmidt, World Scientific, Singapore (1990).

C-23.   On Homoclinic Boundaries in the Nonlinear Schrödinger Equation, M.J. Ablowitz and B.M. Herbst, in Hamiltonian Systems, Transformation Groups, and Spectral Transform Methods, pp 121-132, Eds. J. Harrod and J. Marsden, Les Publications CRM, Montreal, Canada (1990).

C-24.   Exact Solutions of Nonlinear Evolution Equations in the Strong Coupling Limit, C.L. Schultz and M.J.Ablowitz , in Nonlinear Evolution Equations: Integrability and Spectral Methods, pp. 25-32, Eds. A. Degasperis, A.P.Fordy and M. Lakshmanan, MUP, Manchester, 1990.

C-25.   On the Complete Integrability of Certain Nonlinear Evolution Equations in One and Two Spatial Dimensions, M.J. Ablowitz and J. Villarroel, in Chaos and Order, pp 1-13, Ed. N. Joshi and R. Dewar, World Scientific, Singapore (1991).

C-26.   Nonlinear Wave Propagation, M.J. Ablowitz, in Encyclopedia of Physics, 2nd Edition, pp 813-815, Eds. R.G. Lerner, G.L. Trigg, VCH Publishers, Inc., New York (1991).

C-27.   One Dimensional Reductions of Self-Dual Yang-Mills Fields and Classical Equations, S. Chakravarty, M.J. Ablowitz and P.A. Clarkson, in Recent Advances in Relativity--Essays in Honor of Ted Newman, pp 60-71, Eds. Allan I. Janis and John R. Porter, Birkhauser, Boston (1992).

C-28.   On Reductions of Self-Dual Yang Mills Equations, S. Chakravarty and M.J. Ablowitz, in Painlevé Transcendents, pp 331-343, Eds. D. Levi and P. Winternitz, Plenum, New York (1992).

C-29.   Self Dual Yang-Mills Equation and New Special Functions in Integrable Systems, S. Chakravarty, M.J. Ablowitz and L.A. Takhtajan, in Nonlinear Equations and Dynamical Systems, pp 3-11, Eds. M. Boiti, L. Martina and F. Pempinelli, World Scientific, Singapore (1992).

C-30.   Integrable Systems, Self-Dual Yang-Mills Equations and Connections with Modular Forms, M.J. Ablowitz, S. Chakravarty and L.A. Takhtajan, in Nonlinear Problems in Engineering and Science, pp 1-15, Eds. S. Xiao and X.-C. Hu, Science Press, Beijing, China (1992).

C-31.   Solitons and Computation, M.J. Ablowitz and B.M. Herbst, in Important Developments in Soliton Theory, Eds. A. Fokas, V. Zakharov, Series in Nonlinear Dynamics, Springer-Verlag, Berlin (1993).

C-32.   On the Elliptic 2+1 Toda Equation, J. Villarroel and M.J. Ablowitz, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson, NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413 (1993) 251-256.

C-33.   Remarks on the Inverse Scattering Transform Associated with Toda Equations, M.J. Ablowitz and J. Villarroel, in Quantum Inversion Theory and Applications, Proceedings, Ed. H.V. von Geramb, Lecture Notes in Physics, Springer-Verlag, New York 427 (1994) 30-36.

C-34.   Rapidly Forced Burgers Equation, M.J. Ablowitz and S. De Lillo, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Ed. P.A. Clarkson, NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413 (1993) 81-87.

C-35.   Mel'nikov Analysis and Numerically Induced Chaos, B.M. Herbst and M.J. Ablowitz, Chaos in Australia, Conference Proceedings, Eds. G. Brown and A. Opie, World Scientific, Singapore, (1993) 40-56.

C-36.   Hamiltonian Integrators for the Nonlinear Schrödinger Equation, M.J. Ablowitz and C. Schober, in Proceedings of the 2nd IMACS Conference on Computational Physics, Ed. J. Potvin, World Scientific, Singapore, (1994) 219-224.

C-37.   Numerical Stochasticity, Hamiltonian Integrators and the Nonlinear Schrödinger Equation, M.J. Ablowitz and C. Schober, in Three Dimensional Dynamical Systems, Ed. Dr. Kandrup, Annals New York Academy of Sciences, (1994) 162-181.

C-38.   Chaos in Numerics, B.M. Herbst, G.J. Le Roux and M.J. Ablowitz, in Numerical Analysis, Eds. D.F. Griffiths and G.A. Watson, World Scientific, Singapore, (1996) 133-154.

C-39.   On the Numerics of Integrable Discretizations, M.J. Ablowitz, B.M. Herbst and C.M. Schober, in CRM Proceedings and Lecture Notes, Centre de Recherches Mathematiques, 9 (1996) 1-11.

C-40.   Nonlinear Waves, Solitons and IST, M.J. Ablowitz, in Integrability of Nonlinear Systems, Eds. Y. Kosmann-Schwarzbach, B. Grammaticos and K.M. Tamizhmani, Proceeding of the CIMPA School, Pondicherry University, India, 1996, Springer Lecture Notes in Physics (1996) 5-29.

C-41.   Painlevé Test and Painlevé Type Equations, M.J. Ablowitz, in Encyclopaedia of Mathematics Supplement, Volume I, Editor-in-Chief, Prof.dr. M. Hazewinkel, Kluwer Acad. Publ., 1997, 397-398.

C-42.   The Darboux-Halphen System and the Singularity Structure of its Solutions, M.J. Ablowitz, S. Chakravarty, and R. Halburd, in Mathematical and Numerical Aspects of Wave Propagation, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1998, 408-412.

C-43. Collision Induced Timing Jitter in Dispersion Managed Soliton Systems, M.J. Ablowitz, G. Biondini, S. Chakravarty and R.L. Horne, in Nonlinear Guided Waves and Their Applications, Technical Digest Series, Volume 5, Conference Edition, Optical Society of America, Washington, DC, 1998, 181-183.

C-44. Soliton Communications and Wavelength-division Multiplexing, M.J. Ablowitz, G. Biondini, and S. Chakravarty, in Mathematical and Numerical Aspects of Wave Propagation, Ed. John A. DeSanto, Society for Industrial and Applied Mathematics, Philadlephia, PA, 1998, 145-149.

C-45. Multidimensional Optical Pulses in Non-resonant Quadratic Materials, M.J. Ablowitz, G. Biondini and S. Blair, Technical Digest, IEEE/LEOS Conference: Nonlinear Optics '98; Materials, Fundamentals and Applications Topical Meeting, IEEE Catalog #: 98CH36244, pp. 162-164.

C-46. New Solutions of the Nonstationary Schrödinger and Kadomtsev-Petviashvili Equations, M.J. Ablowitz and J. Villarroel, in Symmetries and Integrability of Difference Equations, Eds. P.A. Clarkson and F.W. Nijhoff, London Mathematical Society Lecture Note Series 255, Cambridge University Press, Cambridge, UK, 1999, 151-164.

C-47. On Painlevé and Darboux-Halphen Type Equations, M.J. Ablowitz, S. Chakravarty and R. Halburd, in The Painlevé Property, Once Century Later, Ed. R. Conte, CRM Series in Mathematical Physics, Springer, 1999, 573-589.

C-48. Nevanlinna Theory and Difference Equations of Painlevé Type, M.J. Ablowitz, and R. Halburd, in Nonlinearity, Integrability and all that: Twenty years after NEEDS 1979, Eds. M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani, World Scientific, 2000, 3-11.

C-49. Spectral Collapse of Wavelength-division Multiplexed Dispersion Managed Solitons, M.J. Ablowitz, G. Biondini and E. Olson, Technical Digest, OSA/IEEE/LEOS Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752-646-X, 199-201.

C-50. Four-wave Mixing in Strong Dispersion-Managed Wavelength-Division Multiplexed Soliton Systems, M.J. Ablowitz, G. Biondini, S. Chakravarty, R.L. Horne and E. Spiller, Technical Digest, OSA/IEEE/LEOS Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2000, OSA Catalog #: 1-55752-646-X, 338-340.

C-51. On the Evolution and Interaction of Dispersion-Managed Solitons, M.J. Ablowitz, G. Biondini and E.S. Olson, "Massive WDM and TDM Soliton Transmission Systems" Ed. A, Hasegawa, Kluwer Academic Publishers,2000, 75-114.

C-52. Resonant intrachannel four-wave mixing in strongly dispersion-managed transmission systems, M. J. Ablowitz and T. Hirooka, Procedings of Conference on Optical Fiber Communications (OFC 2001), Anaheim CA, WDD33, March 2001.

C-53. Quasi-linear optical pulses in strongly dispersion-managed transmission systems, M. J. Ablowitz, T. Hirooka, G. Biondini, and W. L. Kath, Procedings Nonlinear Guided Waves and Their Applications (NLGW 2001), Clearwater FL, MC76, March 2001.

C-54. On the Scattering of Multipole Lumps for the Kadomtsev-Petviashvili Equation, M.J. Ablowitz and J. Villarroel, Scattering and Inverse Scattering in Pure and Applied Science, Eds. P. Sabatier and E.R. Pike, Academic Press, (2001), 1792-1806.

C-55. Chaotic Dynamics in Nonlinear Waves: Computational and Physical, M.J. Ablowitz and C.M. Schober, Collected Lectures on the Preservation of Stability under Discretization, Eds: D. Estep and S. Tavener, (2002) SIAM, Phila.

C-56. Managing Nonlinearity in Strongly Dispersion Managed Optical Pulse Transmission, M. J. Ablowitz and T. Hirooka, Technical Digest, OSA Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2002.

C-57. Quasi-linear optical pulses in dispersion-managed fibers: propagation and interaction, M. J. Ablowitz and T. Hirooka, in Optical Solitons: Theoretical and Experimental Challenges, K. Porsezian and V. C. Kuriakose, Eds. (Lecture Notes in Physics 613), Springer-Verlag, 2003, pp.227-246.

C-58. On the IST for discrete nonlinear Schrödinger systems and polarization shift for discrete vector solitons, M. J. Ablowitz, B. Prinari and D. Trubatch, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, pp. 3–16, World Scientific, Singapore, 2003.

C-59. Discrete scalar and vector diffraction-managed nonlinear Schrödinger equations, M. J. Ablowitz, and Z. Musslimani, Nonlinear Physics: Theory and Experiment. II, Eds. M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, p. 319–332, World Scientific, Singapore, 2003.

C-60. Nonlinear waves and (interesting) applications, M.J. Ablowitz, T. Hirooka, and Z. Musslimani, Nonlinear dynamics from lasers to butterflies, Eds. R. Ball and N. Akhmediev, World Scientific, 2003.

C-61. Initial value problems and solutions of the Kadomstev-Petviashvili Equation, M.J. Ablowitz and J. Villarroel, New trends in integrability and partial solvability Ed. A.B. Shabat, A. Gonzalez-Lopez, M. Manas, L. Martinez Alonzo and m.A. Rodriguez, NATO Science Series, II. Mathematics, Physics and Chemistry, Volume 32, 2004.

C-62. Theory of carrier-envelope phase slip for ultra-short dispersion managed solitons, M.J. Ablowitz, B. Ilan and S. Cundiff, Technical Digest, Nonlinear Guided Waves and Their Applications, 2004.

C-63. Reduction of collision-induced timing jitter via periodic-group-delay dispersion-compensating modules in quasi-linear return-to-zero systems, M.J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty and A. Docherty, Technical Digest, OSA Conference Nonlinear Optics: Materials, Fundamentals and Applications, 2004.

C-64. Ablowitz-Kaup-Newell-Segur (AKNS) System, M.J. Ablowitz, Encyclopedia of Nonlinear Science, Routledge Publishing Co., NY, 2004.

C-65. Nonlinear Wave Propagation, M.J. Ablowitz Encyclopedia of Physics Eds. R.G. Lerner and G.L. Trigg, Wiley-VCH, Berlin, Germany, 2005.

C-66. Nonlinear Schrödinger Equations, M.J. Ablowitz and B. Prinari Encyclopedia of Mathematical Physics, Eds. J-P Francoise, G.N. Naber and S.T. Tsou, Elsevier, Academic press, Amsterdam, Netherlands, 2006.

C-67. Solitary waves from optics to fluid dynamics, M. J. Ablowitz, and A. Docherty, Accepted, Second International Symposium on the Frontiers of Applied Mathematics, World Scientific, 2006.




C-1.    Nonlinear  Dispersive  Waves  and  Multi-phase   Modes,  M.J.  Ablowitz,  in  Nonlinear   Wave Motion,  pp 127-124, Ed.  A.C. Newell, Lectures  in Applied  Mathematics, American  Mathe- matical  Society, Providence,  RI (1974).

 

C-2.    The  Inverse  Scattering  Transform—Continuous and  Discrete  and  its  Relationship with Painlev´e  Transcendents, M.J.  Ablowitz,  in Nonlinear  Evolution  Equations  Solvable by the Spectral  Transform, pp 9-32, Ed.  F. Calogero, Research  Notes in Mathematics 26,  Pitman, London (1978).

 

C-3.  Solitons,  Solutions  of Nonlinear  Evolution  Equations and  the  Inverse  Scattering Transform, M.J.  Ablowitz,  in Mathematical Methods  and  Applications  of Scattering Theory,  Eds.   De- Santo,  Saenz  and  Zachary,   Lecture  Notes  in  Physics,  Vol.   130,  Springer-Verlag,   Berlin (1980).

 

C-4.   Solutions  of an  Internal Wave  Equation Describing  a  Stratified   Fluid  with  Finite  Depth, J.  Satsuma and  M.J.  Ablowitz,  in Nonlinear  Partial Differential  Equations  in Engineering

& Applied Science,  pp  397-414, Eds.   R.L.  Sternberg, A.J.  Kalinowki  and  J.S.  Papadakis, Marcel Dekker, Inc., NY (1980).

 

C-5.    Nonlinear  Wave  Propagation,  M.J.  Ablowitz,   in  Encyclopedia  of  Physics pp  663-664, Eds.  R. Lerner,  G. Trigg, Addison-Wesley,  Reading,  MA (1981).

 

C-6.   Remarks  on  Nonlinear  Evolution   Equations and  the  Inverse  Scattering Transform, M.J.

Ablowitz,  in  Nonlinear   Phen.    in  Physics  & Biology, pp.   83–94,  Eds.   R.H.  Enns,  B.L. Jones,  R.M. Miura  and S.S. Rangnekar, Plenum,  NY (1981).

C-6.   Remarks  on  Nonlinear  Evolution   Equations and  the  Inverse  Scattering Transform, M.J.

Ablowitz,  in  Nonlinear   Phen.    in  Physics  & Biology, pp.   83–94,  Eds.   R.H.  Enns,  B.L. Jones,  R.M. Miura  and S.S. Rangnekar, Plenum,  NY (1981).

 

C-7. Nonlinear  Evolution  Equations and Inverse Scattering in Multidimensions, M.J.  Ablowitz,  in

Proceedings  RIMS, Kyoto University  Press (1984).

 

C-8.  Numerical  Simulations  of Certain  Nonlinear  Evolution  Equations of Physical  Interest, T.R.

Taha  and  M.J.  Ablowitz,  in  Advances  in  Computational Methods  for  Partial Differential Equations,  Eds.   V.R.  Vichnevetsky  and  R.S. Stepleman, AICA,  International Association for Analog Computation, Brunswick,  NJ (1984).

 

C-9.  Note on the Inverse Scattering for First  Order  Multidimensional Systems,  A. Nachman,  A.S.

Fokas  and  M.J.  Ablowitz,  in Nonlinear  systems  of Partial Differential  Equations,  pp  217-

222, Eds.   B.  Nicolaenko,  D.  Holm,  and  J.  Hyman,  Lectures  in Appl.   Math.,  American

Mathematical Society, Vol. 23, Providence, RI (1986).

 

C-10.    Exactly   Solvable  Multidimensional  Nonlinear  Equations  and  Inverse  Scattering, M.J.

Ablowitz,  in Topics  in  Soliton  Theory  and  Exactly  Solvable Nonlinear  Equations,  pp  20–

32,  Eds.   M.J.  Ablowitz,  M.D.  Kruskal  and  B.  Fuchssteiner,  World  Scientific,  Singapore

(1986).

 

C-11.  Topics  Associated  with  Nonlinear  Evolution  Equations and  Inverse  Scattering in Multidi- mensions,  M.J.  Ablowitz,  in Solitons,  pp  44-65, Ed.   M. Lakshmanan, Springer  Series in Nonlinear  Dynamics,  Springer-Verlag, Berlin (1988).

 

C-12.    Classical  Poisson  Bracket   Relations   and  Quantum  Commutation Relations   for  Davey- Stewartson, C.L. Schultz,  M.J.  Ablowitz,  D. Bar Yaacov,  in Nonlinear  Evolutions,  pp 437-

448, Ed.  J.P.  Leon, World  Scientific, Singapore  (1988).

 

C-13.  Nonlinear  Evolution  Equations, Solitons and  Cellular  Automata, M.J.  Ablowitz,  in Singu- lar  Behavior  and  Nonlinear  Dynamics,  pp  1-26, Eds.   St.   Pneuvmatikos, T.  Bountis,  Sp. Pneuvmatikos, World  Scientific, Singapore  (1989).


C-14.  On Numerical  Chaos in the Nonlinear  Schrodinger  Equation, B. Herbst  and M.J.  Ablowitz, in Integrable  Systems and Applications,  pp.  192-206, Eds.  M. Balabane,  P. Lochak, and C. Sulem, Lect. Notes in Physics,  Vol. 342, Springer-Verlag,  Berlin (1989).

C-15.   Nonlinear  Evolution  Equations, Solitons,  Chaos  and  Cellular  Automata, M.J.  Ablowitz, B.M. Herbst,  J.M.  Keiser, in Nonlinear  Physics,  pp 166-189, Research  Reports  in Physics, Eds.  C. Gu, Y. Li. and G. Tu,  Springer-Verlag,  Berlin (1990).

C-16.  Nonlinear  Evolution  Equations, Inverse  Scattering and  Cellular  Automata, M.J.  Ablowitz, in Solitons  in Physics,  Mathematics and Nonlinear  Optics,  pp.  1-26, Eds.  P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag,  Berlin, (1990).

C-17.  Painlev´e  Equations and  the  Inverse  Scattering and  Inverse  Monodromy  Transforms, M.J.

Ablowitz,  in Solitons  in  Physics,  Mathematics and  Nonlinear  Optics,  pp.   27-43, Eds.   P. Olver and D. Sattinger, IMA Series, Vol. 25, Springer-Verlag,  Berlin (1990).

C-18. Solitons, Numerical Chaos and Cellular Automata, M.J. Ablowitz, B.M. Herbst,  J.M. Keiser, in Integrable  Systems, pp 46-79, Ed.  B. Kuperschmidt, World  Scientific, Singapore  (1990).

C-19. On Homoclinic Boundaries  in the Nonlinear  Schrodinger  Equation, M.J. Ablowitz and B.M.

Herbst,  in Hamiltonian Systems, Transformation Groups,  and Spectral  Transform Methods, pp.121-132,  Eds.   J.  Harrod  and  J.  Marsden,  Les Publications CRM,  Montreal,   Canada (1990).

C-20. Exact Solutions of Nonlinear Evolution  Equations in the Strong Coupling Limit, C.L. Schultz and M.J.Ablowitz, in Nonlinear  Evolution Equations:  Integrability  and Spectral Methods, pp.

25-32, Eds.  A. Degasperis,  A.P.Fordy and M. Lakshmanan, MUP,  Manchester, 1990.

C-21.  On the  Complete  Integrability of Certain  Nonlinear  Evolution  Equations in One and  Two Spatial  Dimensions,  M.J.  Ablowitz  and  J.  Villarroel,  in Chaos  and  Order,  pp 1-13, Ed.  N. Joshi and R. Dewar, World  Scientific, Singapore  (1991).

C-22.  Nonlinear  Wave  Propagation, M.J.  Ablowitz,  in Encyclopedia  of Physics,  2nd Edition,  pp

813-815, Eds.  R.G. Lerner,  G.L. Trigg, VCH Publishers, Inc., New York (1991).

C-23. One Dimensional  Reductions  of Self-Dual Yang-Mills Fields and Classical Equations,

S. Chakravarty, M.J. Ablowitz and P.A. Clarkson,  in Recent  Advances in Relativity—Essays in Honor  of Ted  Newman,  pp.60-71,  Eds.   Allan  I. Janis  and  John  R. Porter, Birkhauser, Boston  (1992).

C-24.  On  Reductions  of Self-Dual Yang  Mills Equations, S. Chakravarty and  M.J.  Ablowitz,  in Painlev´e Transcendents, pp  331-343, Eds.   D. Levi and  P.  Winternitz, Plenum,  New York (1992).

C-25. Self Dual Yang-Mills Equation and New Special Functions in Integrable  Systems,

S. Chakravarty, M.J.  Ablowitz and L.A. Takhtajan, in Nonlinear  Equations  and Dynamical Systems, pp 3-11, Eds.  M. Boiti, L. Martina and F. Pempinelli,  World  Scientific, Singapore (1992).

C-26.  Integrable  Systems,  Self-Dual Yang-Mills Equations and Connections  with Modular  Forms, M.J.  Ablowitz,  S. Chakravarty and  L.A. Takhtajan, in Nonlinear  Problems  in Engineering and Science, pp 1-15, Eds.  S. Xiao and X.-C. Hu, Science Press,  Beijing, China  (1992).

C-27.  Solitons and  Computation, M.J.  Ablowitz  and  B.M. Herbst,  in Important Developments in Soliton Theory, Eds.  A. Fokas, V. Zakharov,  Series in Nonlinear Dynamics,  Springer-Verlag, Berlin (1993).

C-28.  On  the  Elliptic  2 + 1 Toda  Equation, J.  Villarroel  and  M.J.  Ablowitz,  in Applications  of

Analytic  and  Geometric  Methods  to Nonlinear  Differential  Equations,  Ed.   P.A.  Clarkson,


NATO ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 413

(1993) 251-256.


C-29. Remarks on the Inverse Scattering Transform Associated with Toda Equations, M.J. Ablowitz and  J.  Villarroel,  in Quantum  Inversion  Theory  and  Applications,  Proceedings,  Ed.   H.V. von Geramb,  Lecture  Notes in Physics,  Springer-Verlag,  New York 427  (1994) 30-36.

 

C-30. Rapidly  Forced Burgers Equation, M.J. Ablowitz and S. De Lillo, in Applications  of Analytic and Geometric  Methods to Nonlinear  Differential  Equations,  Ed.  P.A. Clarkson,  NATO ASI Series C:  Mathematical and  Physical  Sciences,  Kluwer  Academic  Publishers, 413  (1993)

81-87.

 

C-31. Mel’nikov Analysis and Numerically  Induced Chaos, B.M. Herbst  and M.J. Ablowitz, Chaos in Australia, Conference Proceedings,  Eds.  G. Brown and A. Opie, World  Scientific, Singa- pore, (1993) 40-56.

 

C-32.  Chaos in Numerics,  B.M. Herbst,  G.J.  Le Roux and M.J.  Ablowitz,  in Numerical  Analysis,

Eds.  D.F. Griffiths and G.A. Watson,  World  Scientific, Singapore,  (1996) 133-154.

 

C-33.    On  the  Numerics  of Integrable   Discretizations,  M.J.  Ablowitz,  B.M.  Herbst  and  C.M.

Schober,  in  CRM  Proceedings   and  Lecture  Notes,  Centre  de  Recherches  Mathematiques,

9 (1996) 1-11.

  

C-34.  Nonlinear  Waves,  Solitons  and  IST,  M.J.  Ablowitz,  in Integrability  of Nonlinear  Systems, Eds.    Y.  Kosmann-Schwarzbach,  B.  Grammaticos and  K.M.  Tamizhmani, Proceeding  of the CIMPA  School, Pondicherry University,  India,  1996, Springer  Lecture  Notes in Physics (1996) 5–29. Reprinted in (2005).

 

C-35. Painlev´e Test and Painlev´e Type Equations, M.J. Ablowitz, in Encyclopaedia  of Mathematics

Supplement,  Volume I, Editor-in-Chief, Prof.dr.  M. Hazewinkel, Kluwer Acad.  Publ.,  1997,

397–398.

 

C-36. The Darboux-Halphen System and the Singularity  Structure of its Solutions,  M.J. Ablowitz, S. Chakravarty, and R. Halburd,  in Mathematical and Numerical  Aspects of Wave Propaga- tion,  Ed.  John  A. DeSanto,  Society for Industrial and Applied  Mathematics, Philadelphia, PA, 1998, 408–412.

 

C-37.  Collision Induced  Timing  Jitter in Dispersion  Managed  Soliton Systems,  M.J.  Ablowitz,  G.

Biondini,  S. Chakravarty and  R.L. Horne,  in Nonlinear  Guided  Waves and  Their  Applica- tions,  Technical  Digest  Series, Volume 5, Conference  Edition,  Optical  Society of America, Washington, DC, 1998, 181–183.

 

C-38. Soliton Communications and Wavelength-division Multiplexing,  M.J. Ablowitz, G. Biondini, and S. Chakravarty, in Mathematical and Numerical  Aspects of Wave Propagation, Ed.  John A. DeSanto,  Society for Industrial and Applied  Mathematics, Philadlephia, PA,  1998, 145–

149.

 

C-39.  Multidimensional Optical  Pulses  in Non-resonant  Quadratic Materials,  M.J.  Ablowitz,  G.

Biondini  and  S. Blair,  Technical  Digest,  IEEE/LEOS Conference:   Nonlinear  Optics  ’98; Materials,  Fundamentals and Applications Topical  Meeting,  IEEE  Catalog  #: 98CH36244, pp.  162–164.

 

C-40.   New Solutions  of the  Nonstationary Schrodinger  and  Kadomtsev-Petviashvili Equations, M.J.  Ablowitz  and  J.  Villarroel,  in Symmetries  and  Integrability  of Difference  Equations, Eds.   P.A.  Clarkson  and  F.W.  Nijhoff, London  Mathematical Society  Lecture  Note  Series

255, Cambridge  University  Press,  Cambridge, UK, 1999, 151–164.


C-41.   On  Painlev´e  and  Darboux-Halphen Type  Equations, M.J.  Ablowitz,  S. Chakravarty and R. Halburd,  in The Painlev´e Property, Once Century  Later,  Ed.  R. Conte,  CRM  Series in Mathematical Physics,  Springer,  1999, 573–589.

 

C-42.   Nevanlinna   Theory  and  Difference Equations of Painlev´e  Type,  M.J.  Ablowitz,  and  R.

Halburd,  in Nonlinearity, Integrability and all that: Twenty years after  NEEDS  1979, Eds. M. Boiti, L. Martina, F. Pempinelli,  B. Prinari and G. Soliani, World  Scientific, 2000, 3-11.

 

C-43.   Spectral  Collapse  of Wavelength-division Multiplexed  Dispersion  Managed  Solitons,  M.J.

Ablowitz,  G. Biondini  and E. Olson, Technical  Digest, OSA/IEEE/LEOS Conference  Non- linear  Optics:  Materials, Fundamentals and  Applications,  2000, OSA Catalog  #: 1-55752-

646-X, 199–201.

 

C-44.  Four-wave  Mixing in Strong  Dispersion-Managed Wavelength-Division  Multiplexed  Soliton Systems,  M.J.  Ablowitz,  G. Biondini,  S. Chakravarty, R.L.  Horne  and  E. Spiller,  Techni- cal Digest,  OSA/IEEE/LEOS Conference  Nonlinear  Optics:  Materials, Fundamentals and Applications,  2000, OSA Catalog  #: 1-55752-646-X, 338-340.

 

C-45.  On the Evolution  and Interaction of Dispersion-Managed Solitons, M.J.  Ablowitz,  G. Bion- dini  and  E.S.  Olson,  ”Massive  WDM  and  TDM  Soliton  Transmission Systems”  Ed.    A, Hasegawa,  Kluwer Academic Publishers,2000, 75-114.

 

C-46.  Resonant intrachannel four-wave  mixing  in strongly  dispersion-managed transmission sys- tems,  M. J. Ablowitz  and  T. Hirooka,  Procedings  of Conference  on Optical  Fiber  Commu- nications  (OFC  2001), Anaheim  CA, WDD33, March 2001.

 

C-47.    Quasi-linear   optical  pulses  in  strongly  dispersion-managed transmission  systems,   M.  J.

Ablowitz,  T. Hirooka,  G. Biondini  and  W. L. Kath,  Proceedings,  Nonlinear  Guided  Waves and Their  Applications (NLGW  2001), Clearwater FL, MC76, March 2001.

 

C-48.    On  the  Scattering of Multipole  Lumps  for  the  Kadomtsev-Petviashvili Equation,  M.J.

Ablowitz  and  J.  Villarroel,  Scattering and  Inverse  Scattering in Pure  and  Applied Science, Eds.  P. Sabatier  and E.R.  Pike, Academic Press,  (2001), 1792-1806.

 

C-49.   Chaotic  Dynamics  in Nonlinear  Waves:   Computational and  Physical,  M.J.  Ablowitz  and C.M. Schober, Collected Lectures  on the Preservation of Stability under  Discretization, Eds: D. Estep  and S. Tavener,  (2002) SIAM, Phila.

 

C-50.  Managing  Nonlinearity in Strongly  Dispersion  Managed  Optical  Pulse  Transmission, M. J.

Ablowitz  and  T.  Hirooka,  Technical  Digest,  OSA Conference  Nonlinear  Optics:  Materials, Fundamentals and Applications,  2002.

 

C-51. Quasi-linear  optical  pulses in dispersion  managed  fibers: propagation and interaction, M. J.

Ablowitz and T. Hirooka, in Optical  Solitons:  Theoretical and Experimental Challenges, K. Porsezian  and V. C. Kuriakose,  Eds.  (Lecture  Notes in Physics 613), Springer-Verlag,  2003, pp.  227-246.

 

C-52.   On  the  IST  for discrete  nonlinear  Schrodinger  systems  and  polarization shift  for discrete vector solitons, M. J. Ablowitz, B. Prinari and D. Trubatch, Nonlinear  Physics:  Theory  and Experiment. II, Eds.  M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, pp.  3–16, World Scientific, Singapore,  2003

 

C-53.    Discrete  scalar  and  vector  diffraction-managed  nonlinear   Schrodinger  equations,   M.  J.

Ablowitz,  and  Z. Musslimani,  Nonlinear  Physics:   Theory  and  Experiment.  II,  Eds.   M.J. Ablowitz,  M. Boiti,  F. Pempinelli  and  B. Prinari, p.  319–332, World  Scientific, Singapore,

2003

C-54.  Nonlinear  waves and  (interesting) applications, M.J.  Ablowitz,  T.  Hirooka,  and  Z. Mussli- mani, Nonlinear  dynamics  from lasers to butterflies,  Eds.  R. Ball and N. Akhmediev,  World Scientific (2003)

C-55.  Initial  value problems  and solutions  of the Kadomstev-Petviashvili Equation M.J.  Ablowitz and  J.  Villarroel,  New trends  in  integrability  and  partial  solvability Ed.   A.B.  Shabat,  A. Gonzalez-Lopez, M. Manas, L. Martinez  Alonzo and M.A. Rodriguez,  NATO Science Series, II. Mathematics, Physics  and Chemistry, Volume 32 (2004), p.1-48

C-56.    Theory  of carrier-envelop phase  slip  for  ultra-short dispersion  managed  solitons,  M.J.Ablowitz,  B.  Ilan  and  S. Cundiff,  Technical  Digest,  Nonlinear   Guided  Waves  and  Their

Applications,  2004.

C-57. Reduction  of collision-induced timing jitter  via periodic-group-delay dispersion-compensating modules  in quasi-linear  return-to-zero systems,  M.J.  Ablowitz,  C. Ahrens,  G. Biondini,  S. Chakravarty and A. Docherty,  Technical  Digest,  OSA Conference  Nonlinear  Optics:  Mate- rials,  Fundamentals and Applications,  2004.

C-58.   Ablowitz-Kaup-Newell-Segur (AKNS)  System,  M.J.  Ablowitz,  Encyclopedia  of Nonlinear

Science, Routledge  Publishing  Co., NY, 2004.

C-59. Nonlinear  Wave Propagation, M.J.  Ablowitz Encyclopedia  of Physics Eds.  R.G. Lerner and

G.L. Trigg, Wiley-VCH,  Berlin, Germany,  2005.

C-60.   Nonlinear  Schr¨odinger Equations, M.J.  Ablowitz  and  B.  Prinari Encyclopedia  of Mathe- matical  Physics,  Eds.  J-P  Francoise,  G.N. Naber  and S.T. Tsou,  Elsevier,  Academic press, Amsterdam, Netherlands, 2006.

C-61. Solitary  waves from optics to fluid dynamics,  M. J. Ablowitz,  and A. Docherty,  Frontiers of

Applied Mathematics, Eds.  D-T Hsieh, M. Zhang and W. Sun, World Scientific, p.  155-186,

2007.

C-62. Quantum-Noise Limit on the Linewidth  of Frequency  Combs, Boaz, Ilan, Mark  J. Ablowitz, and  Steven  T.  Cundiff,  Accepted  paper/presentation, Conference  on Lasers  and  Electro- Optics  (CLEO),  CTuJ2, (2007).

C-63. Multidimensional solitons in irregular-lattice media, Boaz, Ilan, Mark  J. Ablowitz, E. Schon- brun,  and  R.  Piestun, Accepted  paper/presentation, Conference  on Nonlinear  Photonics, Sept.,  (2007)

C-64 Nonlinear Schr¨odinger systems:  continuous  and discrete, M.J. Ablowitz and B. Prinari, Schol- arpedia,  3(8):5561 (2008)

C-65 Dispersive shock waves, M. A. Hoefer and M. J. Ablowitz,  Scholarpedia,  4, 5562 (2009)

C-66.  Nonlinear  waves in optics and fluid dynamics,  Mark.  J. Ablowitz,  Proceedings  of the Inter- national  conference on numerical  analysis and applied  mathematics, (2009).

C-67.  Nonlocal reformulations of water  and  internal  waves and  asymptotic reductions, Mark.   J.

Ablowitz,  Proceedings  of the  International conference  on  numerical  analysis  and  applied mathematics (2009).

C-68. Nonlinear Dynamics of Bloch wave packets in honeycomb lattices,  M. J. Ablowitz and Y. Zhu, Spontaneous Symmetry  Breaking,  Self-Trapping, and  Josephson  Oscillations  in Nonlinear Systems,  1-26, Springer,  Heidelberg (2013)

C-69. Direct observation of pseudospin-mediated vortex generation  in photonic  graphene,  D. Song, L. Tang,  Y. Zhu, M. Ablowitz,  V. Paltoglou, N. K Efremidis,  J. Xu, Z. Chen, OSA: CLEO: QELS Fundamental Science, FM2D. 2 (2014)


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