A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation

被引：98
|
作者：
Wazwaz, AM [1 ]
机构：
[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 123卷 / 02期
关键词：
Kadomtsev-Petviashvili equation; nonlinear evolution equation; soliton; adomian decomposition method;
D O I：
10.1016/S0096-3003(00)00065-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a computational approach to develop soliton solutions of the nonlinear Kadomtsev-Petviashvili equation. Our approach rests mainly on the Adomian decomposition method to include few components of the decomposition series. The proposed framework is presented in a general way so that it can be used in nonlinear evolution equations of the same type. Numerical examples are tested to illustrate the proposed scheme. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：205 / 217
页数：13
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