Current as of September 22, 2024
J.T. Cole and M.J. Nameika, Data-driven approximations of topological insulator systems, APL Machine Learning, In Press, (2024). Article Link
M.J. Ablowitz and J.T. Cole, Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons, Phys. Rev. A 96: 043868 (2017). Article Link
M.J. Ablowitz and J.T. Cole, Topological insulators in longitudinally driven waveguides: Lieb and kagome lattices, Phys. Rev. A 99: 033821 (2019). Article Link
M.J. Ablowitz and J.T. Cole, Discrete approximation of topologically protected modes in magneto-optical media, Phys. Rev. A 101: 023811 (2020). Article Link
M.J. Ablowitz and J.T. Cole, Solitons and topological waves, Science 368: 821-822 (2020). Article Link
M.J. Ablowitz, J.T. Cole, P.-P. Hu, and P. Rosenthal, Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators, Phys. Rev. E 103: 042214 (2020). Article Link
M.J. Ablowitz and J.T. Cole, Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators, Physica D 440: 133440 (2022). Article Link
M.J. Ablowitz, J.T. Cole, and S.D. Nixon, Unified approach to Floquet lattices, topological insulators, and their nonlinear dynamics, SIAM J. Appl. Math. 83: 1623-1653 (2023). Article Link
M.J. Ablowitz, S.D. Nixon, and J.T. Cole, Switching via wave interaction in topological photonic lattices, Optics Letters 49: 734-737 (2024). Article Link
M.J. Ablowitz and J.T. Cole, Generalized Haldane model in a magneto-optical honeycomb lattice, Phys. Rev. A 109: 033503 (2024). Article Link
M.J. Ablowitz, X.-D. Luo, and J.T. Cole, Solitons, the Korteweg-de Vries equation with step boundary values and pseudo-embedded eigenvalues, J. Math. Phys. 59: 091406 (2018). Article Link
M.J. Ablowitz, J.T. Cole, G. A. El, M.A. Hoefer, and X.-D. Luo, Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics, Stud. Appl. Math. 151: 795-856, (2023). Article Link
J.T. Cole and Z.H. Musslimani, Time-dependent spectral renormalization method, Physica D 358: 15-24 (2017). Article Link
J.T. Cole and T.I. Johnson, Approximation of rogue waves using Malmquist-Takenaka functions, In Review (2024). Article Link
J.T. Cole, K.G. Makris, Z.H. Musslimani, D.N. Christodoulides and S. Rotter, Two-fold PT symmetry in doubly exponential optical lattices, Phys. Rev. A 93: 013803 (2016). Article Link
J.T. Cole, K.G. Makris, Z.H. Musslimani, D.N. Christodoulides and S. Rotter, Modulational instability in a PT-symmetric vector nonlinear Schrodinger system, Physica D 336: 53-61 (2016). Article Link
J.T. Cole and Z.H. Musslimani, Band gaps and lattice solitons for the higher-order nonlinear Schrdinger equation with a periodic potential, Phys. Rev. A 90: 013815 (2014). Article Link
J.T. Cole and Z.H. Musslimani, Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrodinger equation, Physica D 313: 26-36 (2015). Article Link
M. J. Ablowitz, J.T. Cole, and I. Rumanov, On the Whitham system for the radial nonlinear Schrodinger equation, Stud. Appl. Math. 142: 269-313 (2019). Article Link
M. J. Ablowitz, J.T. Cole, and I. Rumanov, Whitham equations and phase shifts: the Korteweg-de Vries equation, Proc. Roy. Soc. A 476: 20200300 (2020). Article Link
M. J. Ablowitz, J.T. Cole, and I. Rumanov, On the Whitham system for the (2+1)-dimensional nonlinear Schrodinger equation, Stud. Appl. Math. 150: 380-419 (2023). Article Link
M.J. Ablowitz and J.T. Cole, Transverse instability of rogue waves, Phys. Rev. Lett. 127: 104101 (2021). Article Link
J.T. Cole, A.M. Aurko, and Z.H. Musslimani, Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrodinger equations, Nonlinearity 37: 045001 (2024). Article Link