Elliptic equation's new solutions and their applications to two nonlinear partial differential equations

doi:10.1016/j.amc.2006.10.026

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	Elliptic equation's new solutions and their applications to two nonlinear partial differential equations
	Wang, Deng-Shan; Li, Hong-Bo
	2007-05-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	188 期号:1 页码:762-771
摘要	In the present paper, with the aid of symbolic computation, families of new nontrivial solutions of first-order elliptic equation phi '(2) = a(1)phi + a(2)phi + a(2)phi(2) + a(3)phi(3) + a(4)phi(4) (where phi ' = (d/dx phi)) are obtained. To our knowledge, these nontrivial solutions can not be found in [Chaos Solitons Fract. 26 (2005) 785-794] and [Phys. Lett. A 336 (2005) 463-476] by Yomba and other existent papers until now. By using these nontrivial solutions, a direct algebraic method is described to construct several kinds of exact non-travelling wave solutions for the (2 + 1)-dimensional Breaking soliton equations and the (2 + I)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation. By using this method, many other physically important nonlinear partial differential equations (NLPDEs) can be investigated and new non-travelling wave solutions can be explicitly obtained with the aid of symbolic computation system Maple. (C) 2006 Elsevier Inc. All rights reserved.
关键词	symbolic computation elliptic equation non-travelling wave solution nonlinear partial differential equations
DOI	10.1016/j.amc.2006.10.026
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000247191700085
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4165
专题	系统科学研究所
通讯作者	Wang, Deng-Shan
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Deng-Shan,Li, Hong-Bo. Elliptic equation's new solutions and their applications to two nonlinear partial differential equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,188(1):762-771.
APA	Wang, Deng-Shan,&Li, Hong-Bo.(2007).Elliptic equation's new solutions and their applications to two nonlinear partial differential equations.APPLIED MATHEMATICS AND COMPUTATION,188(1),762-771.
MLA	Wang, Deng-Shan,et al."Elliptic equation's new solutions and their applications to two nonlinear partial differential equations".APPLIED MATHEMATICS AND COMPUTATION 188.1(2007):762-771.