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Miguel A. Alejo
Miguel A. Alejo
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Title
Cited by
Cited by
Year
Nonlinear stability of mKdV breathers
MA Alejo, C Muñoz
Communications in Mathematical Physics 324, 233-262, 2013
842013
The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation
M Alejo, C Munoz, L Vega
Transactions of the American Mathematical Society 365 (1), 195-212, 2013
472013
Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers
M Alejo, C Muñoz
Analysis & PDE 8 (3), 629-674, 2015
402015
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
362017
On the variational structure of breather solutions II: Periodic mKdV equation
MA Alejo, C Munoz, JM Palacios
Texas State University, 2017
312017
Nonlinear stability of Gardner breathers
MA Alejo
Journal of Differential Equations 264 (2), 1192-1230, 2018
282018
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
202018
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
192023
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
192013
Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method
AA MIGUEL
Journal of Nonlinear Mathematical Physics 19 (01), 2012
192012
On the ill-posedness of the Gardner equation
MA Alejo
Journal of Mathematical Analysis and Applications 396 (1), 256-260, 2012
182012
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
152021
Geometric breathers of the mKdV equation
MA Alejo
Acta applicandae mathematicae 121, 137-155, 2012
152012
Well-posedness and stability results for the Gardner equation
MA Alejo
Nonlinear Differential Equations and Applications NoDEA 19 (4), 503-520, 2012
122012
The Akhmediev breather is unstable
MA Alejo, L Fanelli, C Muñoz
São Paulo Journal of Mathematical Sciences 13, 391-401, 2019
112019
Review on the Stability of the Peregrine and Related Breathers
MA Alejo, L Fanelli, C Muñoz
Frontiers in Physics 8, 591995, 2020
102020
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
92021
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
62014
Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation
MA Alejo, AJ Corcho
arXiv preprint arXiv:2003.09994, 2020
52020
Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization
MA Alejo, E Cardoso
arXiv preprint arXiv:1901.10409, 2019
52019
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