Soliton resolution for the focusing modified KdV equation

DOI10.1016/j.anihpc.2021.02.008zbMath1494.35128arXiv1907.07115OpenAlexW3129926644MaRDI QIDQ2235201

Jiaqi Liu, Gong Chen

Publication date: 20 October 2021

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07115

zbMATH Keywords

Riemann-Hilbert problemslong time asymptoticssoliton resolutionbreather stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items

The asymptotic stability of solitons for the focusing mKdV equation with weak weighted Sobolev initial data ⋮ Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation ⋮ Long-time asymptotics of the modified KdV equation in weighted Sobolev spaces ⋮ Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation ⋮ Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations ⋮ Painlevé asymptotics for the coupled Sasa-Satsuma equation ⋮ Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions ⋮ On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation ⋮ Global solutions of quasi-linear Hamiltonian mKdV equation ⋮ Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions ⋮ On asymptotic stability of multi-solitons for the focusing modified Korteweg-de Vries equation ⋮ Stability of mKdV breathers on the half-line ⋮ Long time asymptotics for the nonlocal mKdV equation with finite density initial data

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