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	Symbolic computation of jacobi elliptic function solutions to nonlinear differential-difference equations
	Yong, Xuelin1; Zeng, Xin2; Zhang, Zhiyong3; Chen, Yufu3
刊名	Computers & mathematics with applications
	2009-04-01
卷号	57期号:7页码:1107-1114
关键词	Jacobi elliptic functions Exact solutions Differential-difference equations Symbolic computation
ISSN号	0898-1221
DOI	10.1016/j.camwa.2009.01.008
通讯作者	Yong, xuelin(yongxuelin2003@yahoo.com.cn)
英文摘要	In this paper, an algorithm is presented to find exact polynomial solutions of nonlinear differential-difference equations(ddes) in terms of the jacobi elliptic functions. the key steps of the algorithm are illustrated by the discretized mkdv lattice. a maple package jacobi is developed based on the algorithm to automatically compute special solutions of nonlinear ddes. the effectiveness of the package is demonstrated by applying it to a variety of equations. (c) 2009 elsevier ltd. all rights reserved.
WOS关键词	SYSTEM
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000265129000005
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2397276
专题	中国科学院大学
通讯作者	Yong, Xuelin
作者单位	1.N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China 3.Chinese Acad Sci, Sch Math Sci, Grad Univ, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yong, Xuelin,Zeng, Xin,Zhang, Zhiyong,et al. Symbolic computation of jacobi elliptic function solutions to nonlinear differential-difference equations[J]. Computers & mathematics with applications,2009,57(7):1107-1114.
APA	Yong, Xuelin,Zeng, Xin,Zhang, Zhiyong,&Chen, Yufu.(2009).Symbolic computation of jacobi elliptic function solutions to nonlinear differential-difference equations.Computers & mathematics with applications,57(7),1107-1114.
MLA	Yong, Xuelin,et al."Symbolic computation of jacobi elliptic function solutions to nonlinear differential-difference equations".Computers & mathematics with applications 57.7(2009):1107-1114.

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