Lienard equation and exact solutions for some soliton-producing nonlinear equations

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	Lienard equation and exact solutions for some soliton-producing nonlinear equations
	Zhang, WG ; Chang, QS ; Zhang, QR
	2004-06-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	41 期号:6 页码:849-858
摘要	In this paper, we first consider exact solutions for Lienard equation with nonlinear terms of any order. Then, explicit exact bell and kink profile solitary-wave solutions for many nonlinear evolution equations are obtained by means of results of the Lienard equation and proper deductions, which transform original partial differential equations into the Lienard one. These nonlinear equations include compound KdV, compound KdV-Burgers, generalized Boussinesq, generalized KP and Ginzburg-Landau equation. Some new solitary-wave solutions are found.
关键词	solitary wave Lienard equation compound KdV equation compound KdV-Burgers equation generalized Boussinesq equation generalized KP equation Ginzburg-Landau equation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000222408700011
出版者	INT ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/642
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, WG
作者单位	1.Shanghai Univ Sci & Technol, Dept Basic Sci, Shanghai 200093, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, WG,Chang, QS,Zhang, QR. Lienard equation and exact solutions for some soliton-producing nonlinear equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,41(6):849-858.
APA	Zhang, WG,Chang, QS,&Zhang, QR.(2004).Lienard equation and exact solutions for some soliton-producing nonlinear equations.COMMUNICATIONS IN THEORETICAL PHYSICS,41(6),849-858.
MLA	Zhang, WG,et al."Lienard equation and exact solutions for some soliton-producing nonlinear equations".COMMUNICATIONS IN THEORETICAL PHYSICS 41.6(2004):849-858.