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

Abstract

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

arXiv comment27 pages, no figure

References in corpus (3)

• Well-posedness and scattering for the KP-II equation in a critical space
• Global well-posedness for the KP-I equation on the background of a non localized solution
• Remarks on the mass constraint for KP type equations