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

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math.AP2010★ 3 cited

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

Tetsu Mizumachi, Nikolay Tzvetkov

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