Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method

doi:10.1016/j.amc.2008.04.008

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	Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method
	An, Hong-Li 1,2,4; Chen, Yong 1,2,3,4
	2008-09-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	203 期号:1 页码:125-133
摘要	In this paper, the homotopy perturbation method is extended to investigate the numerical complexiton solutions of the complex KdV equation. By constructing special forms of initial conditions, three new types of realistic numerical solutions are obtained: numerical positon solution expressed by the trigonometric functions, numerical negaton solution expressed by the hyperbolic functions and particularly the numerical analytical complexiton solutions expressed by combinations of the two kinds of functions. All these numerical solutions obtained can rapidly converge to the exact solutions obtained by Lou et al. Illustrative numerical figures are exhibited the efficiency of the proposed method. (c) 2008 Elsevier Inc. All rights reserved.
关键词	homotopy perturbation method complex KdV equation numerical solution numerical complexiton solutions
DOI	10.1016/j.amc.2008.04.008
语种	英语
资助项目	National Natural Science Foundation of China[10735030] ; Shanghai Leading Academic Discipline Project[B412] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT0734] ; Zhejiang Provincial Natural Science Foundations of China[Y604056] ; Doctoral Foundation of Ningbo City[2005A61030]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258832700016
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5652
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Yong
作者单位	1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	An, Hong-Li,Chen, Yong. Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,203(1):125-133.
APA	An, Hong-Li,&Chen, Yong.(2008).Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method.APPLIED MATHEMATICS AND COMPUTATION,203(1),125-133.
MLA	An, Hong-Li,et al."Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method".APPLIED MATHEMATICS AND COMPUTATION 203.1(2008):125-133.