Stability of the multi-solitons of the modified Korteweg-de Vries equation

Stability of the multi-solitons of the modified Korteweg-de Vries equation

We establish the nonlinear stability of \(N\)-soliton solutions of the modified Korteweg-de Vries (mKdV) equation. The \(N\)-soliton solutions are global solutions of mKdV behaving at (positive and negative) time infinity as sums of \(1\)-solitons with speeds \(0

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Veröffentlicht in:arXiv.org 2020-10
Hauptverfasser: Stefan Le Coz, Wang, Zhong
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Infinity
Linearization
Mathematics - Analysis of PDEs
Operators
Solitary waves
Stability
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Zusammenfassung:We establish the nonlinear stability of \(N\)-soliton solutions of the modified Korteweg-de Vries (mKdV) equation. The \(N\)-soliton solutions are global solutions of mKdV behaving at (positive and negative) time infinity as sums of \(1\)-solitons with speeds \(0
ISSN:2331-8422
DOI:10.48550/arxiv.2010.00814