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 one-solitons with speeds 0 < c 1

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Veröffentlicht in:Nonlinearity 2021-10, Vol.34 (10), p.7109-7143
Hauptverfasser: Le Coz, Stefan, Wang, Zhong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Mathematics
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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 one-solitons with speeds 0 < c 1
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ac20a7