Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation

doi:10.1016/j.camwa.2010.05.037

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	Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation
	Xia, Tiecheng 1,2; Xiong, Shouquan 1,2
	2010-08-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	60 期号:3 页码:919-923
摘要	In this paper, the generalized (G'/G)-expansion method (Wang et al. (2008) and Zhang et al. (2008) [13, 14]) is used to construct exact solutions of the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. If the parameters take different values, some more solutions are derived. It is shown that the generalized (G'/G)-expansion method, with the help of symbolic computation, provides an effective and powerful method for solving high-dimensional nonlinear partial differential equations in mathematical physics. (C) 2010 Elsevier Ltd. All rights reserved.
关键词	(2+1)-dimensional Bogoyavlenskii's breaking soliton equation (G '/G)-expansion method Hyperbolic function solutions Trigonometric function solutions Rational solutions
DOI	10.1016/j.camwa.2010.05.037
语种	英语
资助项目	Natural Science Foundation of Shanghai[09 ZR1410800] ; Science Foundation of Key Laboratory of Mathematics Mechanization[KLMM0806] ; Shanghai Leading Academic Discipline Project[J50101] ; Key Disciplines of Shanghai Municipality[S30104]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000280935400048
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/9249
专题	中国科学院数学与系统科学研究院
通讯作者	Xia, Tiecheng
作者单位	1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xia, Tiecheng,Xiong, Shouquan. Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2010,60(3):919-923.
APA	Xia, Tiecheng,&Xiong, Shouquan.(2010).Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation.COMPUTERS & MATHEMATICS WITH APPLICATIONS,60(3),919-923.
MLA	Xia, Tiecheng,et al."Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation".COMPUTERS & MATHEMATICS WITH APPLICATIONS 60.3(2010):919-923.