Existence and nonlinear stability of solitary wave solutions for coupled Schrodinger-KdV systems

Electronic Journal of Differential Equations

article

Pengxue Cui¹  Shuguan Ji¹ 

[1] School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences Northeast Normal University Changchun 130024

关键词: Schrodinger-KdV system;    nonlinear stability;    solitary wave solution.;   

DOI  :  10.58997/ejde.2021.72

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this article, we consider the existence and nonlinear stability of the solitary wave solutions to the coupled Schrodinger-KdV system. By using the undetermined coefficient method, we construct the exact solitary wave solutions. Furthermore, we prove the nonlinear stability of such solitary wave solutions with respect to small perturbations by applying the classical stability theory developed by Benjamin [8] and Bona [9], and the spectral analysis method.

【 授权许可】

CC BY