Nonlinear stability of Gardner breathers

Author:

Alejo Miguel A.ORCID

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference49 articles.

1. Solitons, Nonlinear Evolution Equations and Inverse Scattering;Ablowitz,1991

2. Focusing mKdV breather solutions with nonvanishing boundary conditions by the Inverse Scattering Method;Alejo;J. Nonlinear Math. Phys.,2012

3. On the ill-posedness of the Gardner equation;Alejo;J. Math. Anal. Appl.,2012

4. Well-posedness and stability results for solitons of the Gardner equation;Alejo;NoDEA Nonlinear Differential Equations Appl.,2012

5. Nonlinear stability of mKdV breathers;Alejo;Comm. Math. Phys.,2013

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1. On long-time behavior for solutions of the Gear–Grimshaw system;Zeitschrift für angewandte Mathematik und Physik;2023-11-28

2. Existence of Single-Peak Solitary Waves and Double-Peaks Solitary Wave of Gardner Equation with Kuramoto–Sivashinsky Perturbation;Qualitative Theory of Dynamical Systems;2023-06-02

3. Stability of mKdV breathers on the half-line;Partial Differential Equations and Applications;2022-10-10

4. Global Solutions and Stability Properties of the 5th Order Gardner Equation;Journal of Dynamics and Differential Equations;2021-06-17

5. Variational methods for breather solutions of nonlinear wave equations;Nonlinearity;2021-06-01

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