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.
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页码：160 / 166
页数：7
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