Research Publications

1. On the nonexistence of NLS breathers.  (with M.  A. Alejo).  Physica D: Nonlinear Phenomena:   475 (2025), 134580, (see in arXiv).

2. L^2 Solutions for Cubic NLS Equation with higher order Fractional Elliptic/Hyperbolic Operators on RxT and R^2 (with L. P. Mallqui). Electronic Journal of Differential Equations: 2025 (2025), no. 16, 1-17, (see in arXiv).

3. On the global and singular dynamics of the 2D-Cubic nonlinear Schrödinger equation on cylinders (with M. Panthee). Nonlinear Analysis: 243 (2024), 113519. 

4. Orbital stability of the black soliton for the  quintic Gross-Pitaevskii equation (with M.  Alejo). Rev. Mat. Iberoam. 40 (2024), no. 5, 1731–1780, (see in arXiv).

5. Stability of mKdV breathers on the half-line (with M. A. Alejo and M. Cavalcante). Partial Differential Equations and Applications: 3-70  (2022), 1--21,  (see in arXiv).

6. On the Cauchy Problem Associated to a Nonequilibrium Bose-Einstein Condensate of Exciton Polaritons (with H. Hajaiej). SIAM Journal on Mathematical Analysis: 53 Issue 6 (2021), 6191--6215. 

7. Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-Line (with M. Cavalcante). Journal of Evolution Equations: 20 (2020), 1563--1596, (see in arXiv).

8. Uniform  adiabatic Limit of Benney type systems (with J. C. Cordero).  Zeitschrift fuer Angewandte Mathematik und Physik - ZAMP : 71 (2020), 144 (1--19), (see in arXiv).

9. On a nonlinear Schrödinger system arising in quadratic media (with S. Correia, F. Oliveira and  J. Drumond Silva).  Communications in Mathematical Sciences: 17 Issue 4 (2019),  969--987, (see in arXiv).

10. The initial-boundary value problem for Schrödinger-Korteweg-de Vries system on the half-line (with M. Cavalcante).  Communications in Contemporary Mathematics: 21 Issue 8 (2019), 1850066-1--1850066-47, (see in arXiv). 

11. Asymptotic behavior of the Schrödinger-Debye system with refractive index of quadratic wave amplitude (with J. C. Cordero). Letters in Mathematical Physics: 108  Issue 9 (2018), 2031--2054, (see in arXiv).

12. Well-posedness for multicomponent Schrödinger-gKdV system and stability solitary waves with prescribed mass (with S. Bhattarai and M. Panthee). Journal of Dynamics and Differential Equations: 30 Issue 2 (2018), 845--881, (see in arXiv). 

13. On the unboundeness of higher regularity Sobolev norms of solutions for the critical Schrödinder - Debye system with vanishing relaxation delay (with J. Drumond Silva).  Nonlinearity: 30 (2017), 300--328, (see in arXiv). 

14. Global existence for Schrödinger - Debye system for initial data with infinite L2 - norm (with L.  C.  F.  Ferreira). Quarterly of Applied Mathematics: LXXIII (2015), 253--264, (see in arXiv). 

15. Local and global well-posedness for the critical Schrödinger-Debye System (with F. Oliveira and J. Drumond  Silva). Proceedings of the AMS: 141 (2013), 3485--3499, (see in arXiv). 

16. Global well-posedness for a coupled modified Korteweg-de Vries system (with M. Panthee). Bulletin of the Brazilian Mathematical Society: 43 (2012), 27--57, (see in arXiv). 

17. Well-Posedness and Stability in the Periodic Case for the Benney System (with J. Angulo and S. Hakkaev). Advances in Differential Equations: 16 (2011), 523--550, (see in arXiv). 

18. Sharp Bilinear Estimates and Well-Posedness for the 1-D Schrödinger-Debye System (with C. Matheus).  Differential and Integral Equations: 22 (2009), 357--391, (see in arXiv). 

19. Well-Posedness for the Schrödinger-Korteweg-de Vries System (with  F. Linares). Transactions of the American Mathematical Society: 359 (2007),  4089--4106. 

20. Ill-Posedness for the Benney System. Discrete and Continuous Dynamical Systems: 15 (2006), 965--972. 

21. Rough Solutions for the Periodic Schrödinger-Korteweg- de Vries System (with A. Arbieto and C. Matheus). Journal of Differential Equations: 230 (2006), 295--336, (see in arXiv). 

22. Well-Posedness for the Schrödinger-Debye Equation (with F. Linares). Contemporary Mathematics: 362 (2004), 113--131.