Exact travelling wave solutions of the dissipative coupled Korteweg-de Vries equation

被引：0
|
作者：
Liu Qiang [1 ,2 ]
Zhang Weiguo [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Sch Sci, Shanghai 200093, Peoples R China
[2] Coll Zhengzhou Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 12期
基金：
中国国家自然科学基金;
关键词：
The dissipative coupled Korteweg-de Vries equation; Global phase portrait; Solitary wave solution; Damped oscillatory solution; Error estimate; Heteroclinic orbit; FIELD-THEORY;
D O I：
10.1016/j.amc.2009.12.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper employs the theory of planar dynamical systems and undetermined coefficient method to study travelling wave solutions of the dissipative coupled Korteweg-de Vries equation. The possible kink profile solitary wave solutions and approximate damped oscillatory solutions of the equation are obtained by using undetermined coefficient method. Error estimates indicate that the approximate solutions are meaningful. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.
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页码：4203 / 4215
页数：13
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