An explicit and numerical solutions of some fifth-order KdV equation by decomposition method

被引：84

作者：

Kaya, D ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 144卷 / 2-3期

关键词：

the Adomian decomposition method; fifth-order KdV equation; the Kawahara equation; the self-canceling noise terms;

D O I：

10.1016/S0096-3003(02)00412-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by considering the Adomian decomposition method, explicit and numerical solutions are calculated for a various fifth-order Korteweg-de Vries equations with initial condition. The method does not need linearization or weak nonlinearity assumptions, perturbation theory. The decomposition series explicit solution of the equation is quickly obtained by observing the existence of the self-canceling "noise" terms where sum of components vanishes in the limit. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：353 / 363

页数：11

共 16 条

[1]

Adomian Adomian G. G., Solving Frontier Problems in Physics. The Decomposition Method

[2] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].