Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method

被引：37

作者：

Kaya, D ^{[1
]}

El-Sayed, S

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

[2] Benha Univ, Dept Math, Banha 13518, Egypt

来源：

PHYSICS LETTERS A | 2003年 / 320卷 / 2-3期

关键词：

(2+1)-dimensional potential Kadomtsev-Petviashvili equation; Soliton-like solutions; Adomian decomposition method;

D O I：

10.1016/j.physleta.2003.11.021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter we present an Adomian's decomposition method (shortly ADM) for obtaining the numerical soliton-like solutions of the potential Kadomtsev-Petviashvili (shortly PKP) equation. We will prove the convergence of the ADM. We obtain the exact and numerical solitary-wave solutions of the PKP equation for certain initial conditions. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：192 / 199

页数：8

共 30 条

[1] CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS [J].