文章基本信息

标题：The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation
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作者：Changhao Zhang ; Guiying Chen
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2021
卷号：2021
页码：1-6
DOI：10.1155/2021/5569909
出版社：Hindawi Publishing Corporation
摘要：A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elasticity of the collision between two solitons is proved by analyzing the asymptotic behavior of the two-soliton solution. Some figures are displayed to illustrate the process of elastic collision.