Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations

doi:10.1016/j.ijengsci.2003.06.002

CSpace

	Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations
	Chen, Y ; Li, B
	2004-04-01
发表期刊	INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
ISSN	0020-7225
卷号	42 期号:7 页码:715-724
摘要	By means of a new Riccati equation expansion method, we consider the (2 + 1)-dimensional dispersive long-wave equations u(yt) + eta(xx) + 1/2(u(2))(xy)= 0, eta(t) + (ueta + u + u(xy))(x) = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	generalized Riccati equation expansion method symbolic computation (2+1)-dimensional dispersive long-wave equation soliton-like solutions solitons
DOI	10.1016/j.ijengsci.2003.06.002
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Multidisciplinary
WOS记录号	WOS:000220125900007
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/19697
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Y
作者单位	1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Y,Li, B. Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,2004,42(7):715-724.
APA	Chen, Y,&Li, B.(2004).Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations.INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE,42(7),715-724.
MLA	Chen, Y,et al."Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations".INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 42.7(2004):715-724.