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
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2005-07-26
卷号	166 期号:3 页码:571-583
关键词	mKdV equation the decomposition method Jacobi elliptic function solution error analysis
ISSN号	0096-3003
DOI	10.1016/j.amc.2004.07.004
英文摘要	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.
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000230359200007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/1192]
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.