Interaction of solitary waves for the generalized KdV equation

被引：12
|
作者：
Garcia Alvarado, Martin G. [1 ]
Omel'yanov, Georgii A. [1 ]
机构：
[1] Univ Sonora, Hermosillo 83000, Sonora, Mexico
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 08期
关键词：
Generalized Korteweg-de Vries equation; Soliton; Interaction; Weak asymptotics method; Finite differences scheme; DE-VRIES EQUATION; NONLINEAR EVOLUTION; SCHEMES;
D O I：
10.1016/j.cnsns.2011.12.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of generalized KdV equations with a small parameter and nonlinearities of the type u(m). We create a finite differences scheme to simulate the solution of the Cauchy problem and present some numerical results for the problem of the solitary waves interaction. In particular, we consider sufficient condition under which pairs of solitary waves interact, in the asymptotic sense, in accordance with the soliton scenario. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：3204 / 3218
页数：15
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