The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation

被引：97

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 200卷 / 01期

关键词：

Hirota bilinear method; Hereman's method; tanh-coth method; SK equation; KP equation; multiple-soliton solutions;

D O I：

10.1016/j.amc.2007.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we derive a new completely integrable dispersive equation. The equation is obtained by combining the Sawada-Kotera (SK) equation with the sense of the Kadomtsev-Petviashvili (KP) equation. The newly derived Sawada-Kotera-Kadomtsev-Petviashvili (SK-KP) equation is studied by using the tanh-coth method, to obtain single-soliton solution, and by the Hirota bilinear method, to determine the N-soliton solutions. The study highlights the significant features of the employed methods and its capability of handling completely integrable equations. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：160 / 166

页数：7

共 46 条

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