Nonlinear stability of mKdV breathers MA Alejo, C Muñoz Communications in Mathematical Physics 324, 233-262, 2013 | 90 | 2013 |
The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation M Alejo, C Muñoz, L Vega Transactions of the American Mathematical Society 365 (1), 195-212, 2013 | 49 | 2013 |
Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers M Alejo, C Munoz Analysis & PDE 8 (3), 629-674, 2015 | 43 | 2015 |
On the variational structure of breather solutions I: Sine-Gordon equation MA Alejo, C Muñoz, JM Palacios Journal of Mathematical Analysis and Applications 453 (2), 1111-1138, 2017 | 36 | 2017 |
On the variational structure of breather solutions II: Periodic mKdV equation MA Alejo, C Munoz, JM Palacios Texas State University, 2017 | 33 | 2017 |
Nonlinear stability of Gardner breathers MA Alejo Journal of Differential Equations 264 (2), 1192-1230, 2018 | 28 | 2018 |
Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics M Alejo, C Muñoz Proceedings of the American Mathematical Society 146 (5), 2225-2237, 2018 | 22 | 2018 |
Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method AA MIGUEL Journal of Nonlinear Mathematical Physics 19 (01), 2012 | 21 | 2012 |
On asymptotic stability of the sine-Gordon kink in the energy space MA Alejo, C Muñoz, JM Palacios Communications in Mathematical Physics 402 (1), 581-636, 2023 | 20 | 2023 |
Discrete conservation laws and the convergence of long time simulations of the mKdV equation C Gorria, MA Alejo, L Vega Journal of Computational Physics 235, 274-285, 2013 | 19 | 2013 |
On the ill-posedness of the Gardner equation MA Alejo Journal of Mathematical Analysis and Applications 396 (1), 256-260, 2012 | 19 | 2012 |
Stability and instability of breathers in the U (1) Sasa–Satsuma and nonlinear Schrödinger models MA Alejo, L Fanelli, C Muñoz Nonlinearity 34 (5), 3429, 2021 | 16 | 2021 |
Geometric breathers of the mKdV equation MA Alejo Acta applicandae mathematicae 121, 137-155, 2012 | 15 | 2012 |
The Akhmediev breather is unstable MA Alejo, L Fanelli, C Muñoz São Paulo Journal of Mathematical Sciences 13, 391-401, 2019 | 12 | 2019 |
Well-posedness and stability results for the Gardner equation MA Alejo Nonlinear Differential Equations and Applications NoDEA 19 (4), 503-520, 2012 | 12 | 2012 |
Review on the Stability of the Peregrine and Related Breathers MA Alejo, L Fanelli, C Muñoz Frontiers in Physics 8, 591995, 2020 | 11 | 2020 |
On the dynamics of zero-speed solutions for Camassa–Holm-type equations MA Alejo, MF Cortez, C Kwak, C Muñoz International Mathematics Research Notices 2021 (9), 6543-6585, 2021 | 10 | 2021 |
Orbital stability of the black soliton for the quintic Gross–Pitaevskii equation MÁ Alejo, AJ Corcho Revista Matemática Iberoamericana, 2024 | 5 | 2024 |
Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner–Goldin theory: Existence of solitary waves MA Alejo, JL López Physica D: Nonlinear Phenomena 426, 132989, 2021 | 5 | 2021 |
Collective coordinates theory for discrete soliton ratchets in the sine-Gordon model B Sánchez-Rey, NR Quintero, J Cuevas-Maraver, MA Alejo Physical Review E 90 (4), 042922, 2014 | 5 | 2014 |