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

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

2010-08-04

arxiv.org/abs/1008.0812v1

Mathematics

Analysis of PDEs

27 pages, no figure

Scientific paper

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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