Year: 2021
Author: Robin Ming Chen, Jie Jin
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 337–362
Abstract
The Camassa-Holm-Kadomtsev-Petviashvili-I equation (CH-KP-I) is a two dimensional generalization of the Camassa-Holm equation (CH). In this paper, we prove transverse instability of the line solitary waves under periodic transverse perturbations. The proof is based on the framework of [18]. Due to the high nonlinearity, our proof requires necessary modification. Specifically, we first establish the linear instability of the line solitary waves. Then through an approximation procedure, we prove that the linear effect actually dominates the nonlinear behavior.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2021-0004
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 337–362
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Camassa-Holm-Kadomtsev-Ketviashvili-I equation line solitary waves transverse instability.