Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components

This paper is to study the following coupled version of compound KdV and MKdV equations with two components \begin{equation*}\label{eq0}\left\{\begin{aligned}&u_{t}+\alpha vv_{x}+\beta u^{2}u_{x}+u_{xxx}+\lambda uu_{x}=0,\ \ \beta>0,\\&v_{t}+\alpha (uv)_{x}+2vv_{x}=0,\end{alig...

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Bibliographic Details
Main Authors: Xiaoxiao Zheng, Jie Xin, Yongyi Gu
Format: Article
Language:English
Published: AIMS Press 2020-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020212/fulltext.html