The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions

被引：41
作者：
Wazwaz, Abdul-Majid [1 ]
机构：
[1] St Francis Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 02期
关键词：
KdV6; equation; Cole-Hopf transformation; Hirota bilinear method; Multiple soliton solutions; Singular soliton solutions; Resonance;
D O I：
10.1016/j.amc.2008.08.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the completely integrable sixth-order nonlinear equations KdV6 are studied. Three distinct cases of these equations are selected for a reliable treatment. Multiple soliton solutions and multiple singular soliton solutions are formally derived for these equations. The Cole-Hopf transformation method combined with the Hirota's bilinear sense are used to determine the two distinct structures of solutions. The resonance relations for the three cases are investigated. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：963 / 972
页数：10
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