On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations

doi:10.1016/j.cnsns.2008.01.002

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	On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
	Shen, Yaliang 2,3; Zhu, Yueping 2; Cao, Nanbin 1,3
	2009-04-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	14 期号:4 页码:1176-1185
摘要	The overall aim of the present paper is to find and analyze the new non-travelling wave solutions of the nonlinear evolution and wave equations. With the aid of symbolic computation and based on the generalized extended tanh-function method, we propose the newly extended tanh-function expansion algorithm and get many new non-travelling wave solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. The solutions which we obtain are more abundant than the solutions which the generalized extended tanh-function method gets. At the same time, the solutions contain arbitrary functions which may be helpful to explain some complex phenomena. We also give some figures to describe the property of these solutions. In additions, the method can also be successfully applied to other nonlinear evolution and wave equations. (C) 2008 Elsevier B.V. All rights reserved.
关键词	Symbolic computation Newly extended tanh-function expansion method Non-travelling wave solution Soliton-like solution
DOI	10.1016/j.cnsns.2008.01.002
语种	英语
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000264295800026
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8476
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Nanbin
作者单位	1.Shijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China 2.Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shen, Yaliang,Zhu, Yueping,Cao, Nanbin. On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2009,14(4):1176-1185.
APA	Shen, Yaliang,Zhu, Yueping,&Cao, Nanbin.(2009).On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,14(4),1176-1185.
MLA	Shen, Yaliang,et al."On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 14.4(2009):1176-1185.