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On Asymptotic Stability of the Sine-Gordon Kink in the Energy Space

Communications in mathematical physics, 2023-08, Vol.402 (1), p.581-636, Article 581

2023

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Global Solutions and Stability Properties of the 5th Order Gardner Equation

Journal of dynamics and differential equations, 2023-03, Vol.35 (1), p.575-621

2023

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Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics

Proceedings of the American Mathematical Society, 2018-05, Vol.146 (5), p.2225-2237

2018

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On the Dynamics of Zero-Speed Solutions for Camassa–Holm-Type Equations

International mathematics research notices, 2021-05, Vol.2021 (9), p.6543-6585

2021

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Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models

Nonlinearity, 2021-05, Vol.34 (5), p.3429-3484

2021

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Decay for Skyrme wave maps

Letters in mathematical physics, 2022-10, Vol.112 (5), Article 90

2022

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On global solutions to some non-Markovian quantum kinetic models of Fokker–Planck type

Zeitschrift für angewandte Mathematik und Physik, 2020-04, Vol.71 (2), Article 72

2020

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On the nonlinear stability of mKdV breathers

Journal of physics. A, Mathematical and theoretical, 2012-11, Vol.45 (43), p.432001-7

2012

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The Akhmediev breather is unstable

São Paulo Journal of Mathematical Sciences, 2019-12, Vol.13 (2), p.391-401

2019

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Review on the Stability of the Peregrine and Related Breathers

Frontiers in physics, 2020-11, Vol.8

2020

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On the variational structure of breather solutions II: periodic mKdV equation

Electronic journal of differential equations, 2017-02, Vol.2017 (56), p.1-26

2017

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The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

Transactions of the American Mathematical Society, 2013-01, Vol.365 (1), p.195-212

2013

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FOCUSING mKdV BREATHER SOLUTIONS WITH NONVANISHING BOUNDARY CONDITION BY THE INVERSE SCATTERING METHOD

Journal of nonlinear mathematical physics, 2012, Vol.19 (1), p.119-135

ALEJO, MIGUEL A.

2012

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Geometric Breathers of the mKdV Equation

Acta applicandae mathematicae, 2012-10, Vol.121 (1), p.137-155

Alejo, Miguel A.

2012

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On the ill-posedness of the 5th-order Gardner equation

São Paulo Journal of Mathematical Sciences, 2019-12, Vol.13 (2), p.383-390

2019

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Nonlinear stability of Gardner breathers

Journal of Differential Equations, 2018-01, Vol.264 (2), p.1192-1230

Alejo, Miguel A.

2018

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Higher order mKdV breathers: nonlinear stability

Proyecciones (Antofagasta, Chile), 2024-04, Vol.43 (2), p.495-520

Alejo, Miguel A.

2024

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Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization

Proyecciones (Antofagasta, Chile), 2023-08, Vol.42 (4), p.833-860

Alejo, Miguel A.

2023

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Nonlinear Stability of MKdV Breathers

Communications in mathematical physics, 2013-11, Vol.324 (1), p.233-262

2013

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Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models Partially funded by Product. CNPq Grant No. 305205/2016-1, IMUS and VI PPIT-US program reference I3C and CMM Conicyt PIA AFB170001 and Fondecyt 1150202

Nonlinearity, 2021-05, Vol.34 (5), p.3429-3484

2021

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Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner–Goldin theory: Existence of solitary waves

Physica. D, 2021-11, Vol.426, p.132989, Article 132989

2021

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On the ill-posedness of the Gardner equation

Journal of mathematical analysis and applications, 2012-12, Vol.396 (1), p.256-260

Alejo, Miguel A.

2012

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On the variational structure of breather solutions I: Sine-Gordon equation

Journal of mathematical analysis and applications, 2017-09, Vol.453 (2), p.1111-1138

2017

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Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers

Analysis & PDE, 2015-01, Vol.8 (3), p.629-674

2015

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Well-posedness and stability results for the Gardner equation

Nonlinear differential equations and applications, 2012-08, Vol.19 (4), p.503-520

Alejo, Miguel A.

2012

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On Asymptotic Stability of the Sine-Gordon Kink in the Energy Space

Global Solutions and Stability Properties of the 5th Order Gardner Equation

Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear electrodynamics

On the Dynamics of Zero-Speed Solutions for Camassa–Holm-Type Equations

Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models

Decay for Skyrme wave maps

On global solutions to some non-Markovian quantum kinetic models of Fokker–Planck type

On the nonlinear stability of mKdV breathers

The Akhmediev breather is unstable

Review on the Stability of the Peregrine and Related Breathers

On the variational structure of breather solutions II: periodic mKdV equation

The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

FOCUSING mKdV BREATHER SOLUTIONS WITH NONVANISHING BOUNDARY CONDITION BY THE INVERSE SCATTERING METHOD

Geometric Breathers of the mKdV Equation

On the ill-posedness of the 5th-order Gardner equation

Nonlinear stability of Gardner breathers

Higher order mKdV breathers: nonlinear stability

Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization

Nonlinear Stability of MKdV Breathers

Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models Partially funded by Product. CNPq Grant No. 305205/2016-1, IMUS and VI PPIT-US program reference I3C and CMM Conicyt PIA AFB170001 and Fondecyt 1150202

Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner–Goldin theory: Existence of solitary waves

On the ill-posedness of the Gardner equation

On the variational structure of breather solutions I: Sine-Gordon equation

Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers

Well-posedness and stability results for the Gardner equation

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