Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Nikolay Tzvetkov; Tetsu Mizumachi

arxiv: 1008.0812 · v1 · pith:YSEFM3ANnew · submitted 2010-08-04 · 🧮 math.AP · math-ph· math.MP

Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Tetsu Mizumachi , Nikolay Tzvetkov This is my paper

classification 🧮 math.AP math-phmath.MP

keywords equationkp-iiperiodicperturbationsstabilitytransverseconsideredline

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We prove the nonlinear stability of the KdV solitary waves considered as solutions of the KP-II equation, with respect to periodic transverse perturbations.

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Stability of the line soliton of the KP-II equation under periodic transverse perturbations

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