Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method

doi:10.1016/j.amc.2004.07.004

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	Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method
	Yan, ZY
	2005-07-26
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	166 期号:3 页码:571-583
摘要	The scheme is developed to obtain approximate Jacobi elliptic function solutions of the modified KdV equation with initial conditions via the Adomian decomposition method. As consequence, we derive the approximate solution and exact Jacobi elliptic function solutions of the modified KdV equation with initial conditions. The approximate solution is compared with the exact solution. Moreover we analyze the absolute error and relative error, and give the contour and density plots of the approximate Jacobi elliptic function solutions with different modulus m = 0.25,0.5, 1. (c) 2004 Elsevier Inc. All rights reserved.
关键词	mKdV equation the decomposition method Jacobi elliptic function solution error analysis
DOI	10.1016/j.amc.2004.07.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000230359200007
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/1193
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,166(3):571-583.
APA	Yan, ZY.(2005).Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method.APPLIED MATHEMATICS AND COMPUTATION,166(3),571-583.
MLA	Yan, ZY."Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method".APPLIED MATHEMATICS AND COMPUTATION 166.3(2005):571-583.