An improved algebra method and its applications in nonlinear wave equations

doi:10.1016/j.chaos.2003.12.042

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	An improved algebra method and its applications in nonlinear wave equations
	Yan, ZY
	2004-08-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	21 期号:4 页码:1013-1021
摘要	In this paper, other types of exact solution of a first-order nonlinear ordinary differential equation, which is including the algebraic method, is further investigated. By using the solutions of this equation, we give some types of solutions of the coupled KdV equation, nonlinear dispersion mK(m,n,k) equation, the variant shallow water wave equation, nonlinear dissipative equation and the higher-order nonlinear Schrodinger equation. These solutions includes compacton solutions, solitary pattern solutions, solitary wave solutions, Weierstrass elliptic function solutions, which may be useful to explain some phenomena. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2003.12.042
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000220413000025
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19748
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 Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. An improved algebra method and its applications in nonlinear wave equations[J]. CHAOS SOLITONS & FRACTALS,2004,21(4):1013-1021.
APA	Yan, ZY.(2004).An improved algebra method and its applications in nonlinear wave equations.CHAOS SOLITONS & FRACTALS,21(4),1013-1021.
MLA	Yan, ZY."An improved algebra method and its applications in nonlinear wave equations".CHAOS SOLITONS & FRACTALS 21.4(2004):1013-1021.