Multiple soliton solutions for a (2+1)-dimensional integrable KdV6 equation

被引：41

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 06期

关键词：

KdV6; equations; Cole-Hopf transformation; Hirota bilinear method; Multiple soliton solutions; Singular soliton solutions; Resonance; HIROTA 3-SOLITON CONDITION; MODEL-EQUATIONS; BILINEAR METHOD; SEARCH;

D O I：

10.1016/j.cnsns.2009.06.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a completely integrable (2 + 1)-dimensional KdV6 equation is investigated. The Cole-Hopf transformation method combined with the Hirota's bilinear sense are used to determine two sets of solutions for this equation. Multiple soliton solutions are formally derived to emphasize its complete integrability. Moreover, multiple singular soliton solutions are also developed for this equation. The resonance relation for this equation does not exist. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1466 / 1472

页数：7

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