, Volume 183, Issue 2, pp 253-266

Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation

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Abstract

We prove that the set of solitary wave solutions of a generalized Kadomtsev-Petviashvili equation in two dimensions, (u t+(um+1)x+uxxx)x=uyy is stable for 0<m<4/3.

Communicated by A. Jaffe