The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations

doi:10.1016/j.physleta.2004.08.046

CSpace > 系统科学研究所

	The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations
	Yan, ZY
	2004-10-18
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	331 期号:3-4 页码:193-200
摘要	In this Letter, a new method (called generalized sine-Gordon equation expansion method) is proposed by further studying the famous sine-Gordon equation and using a generalized transformation to seek more types of solutions of nonlinear wave equations. With the aid of symbolic computation, we choose (2 + 1)-dimensional Burgers equation and the variant Boussinesq equations to illustrate the validity and advantages of the algorithm. As a consequence, more types of new solitary wave solutions, singular solitary wave solutions and doubly periodic solutions are obtained. The algorithm can be also extended to many other nonlinear wave equations. (C) 2004 Published by Elsevier B.V.
关键词	Sine-Gordon equation nonlinear wave equation symbolic computation doubly periodic solution solitary wave solution
DOI	10.1016/j.physleta.2004.08.046
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000224478200010
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/19448
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. The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations[J]. PHYSICS LETTERS A,2004,331(3-4):193-200.
APA	Yan, ZY.(2004).The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations.PHYSICS LETTERS A,331(3-4),193-200.
MLA	Yan, ZY."The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations".PHYSICS LETTERS A 331.3-4(2004):193-200.