Decomposition method for the Camassa-Holm equation

被引：19

作者：

Kamdem, J. Sadefo

Qiao, Zhijun

机构：

[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA

[2] CNRS, UMR 6056, Math Lab, F-51687 Reims, France

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 31卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2005.09.071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Adomian decomposition method is applied to the Camassa-Holm equation. Approximate solutions are obtained for three smooth initial values. These solutions are weak solutions with some peaks. We plot those approximate solutions and find that they are very similar to the peaked soliton solutions. Also, one single and two anti-peakon approximate solutions are presented. Compared with the existing method, our procedure just works with the polynomial and algebraic computations for the CH equation. (c) 2005 Elsevier Ltd. All rights reserved.

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收藏

页码：437 / 447

页数：11

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