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.
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页码：2484 / 2490
页数：7
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