Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations

被引：25

作者：

Darvishi, M. T. ^{[1
]}

Khani, F. ^{[2
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah 67149, Iran

[2] Bakhtar Inst Higher Educ, Dept Math, Ilam, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 05期

关键词：

VARIATIONAL-ITERATION METHOD; SOLITARY WAVE SOLUTIONS; APPROXIMATE SOLUTION; KDV EQUATIONS; BURGERS; TRANSFORMATION; SIMULATION;

D O I：

10.1016/j.chaos.2007.07.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by means of variational iteration method numerical and explicit Solutions are computed for sonic fifth-order Korteweg-de Vries equations, without any linearization or weak nonlinearity assumptions. These equations are the Kawahara equation, Lax's fifth-order KdV equation and Sawada-Kotera equation. Comparison with Adomian decomposition method reveals that the variational iteration method is easier to be implemented. We conclude that the method is a promising method to various kinds of fifth-order Korteweg-de Vries equations. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2484 / 2490

页数：7

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