Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation

doi:10.1393/ncb/i2003-10057-8

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	Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation
	Chen, Y ; Li, B
	2003-08-01
发表期刊	NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS
ISSN	0369-3554
卷号	118 期号:8 页码:767-776
摘要	Based on a Riccati equation and a symbolic computation system - Maple, a generalized Riccati equation expansion method is presented for constructing soliton-like solutions and periodic form solutions for some nonlinear evolution equations (NEEs) or NEEs with variable coefficients. Compared with most of the existing tanh methods, the extended tanh-function method. the modified extended tanh-function method and the generalized hyperbolic-function method, the proposed method is more powerful. We study a (2+1)-dimensional general nonintegrable KdV equation, a KdV equation with variable coefficients. As a result, rich new families of exact solutions, including the non-travelling wave's and coefficient functions' soliton-like solutions, singular soliton-like solutions, periodic form solutions, are obtained. When setting the arbitrary functions in some solutions be equal to special constants or special functions, the solitary wave solutions can be recovered.
DOI	10.1393/ncb/i2003-10057-8
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000221386900004
出版者	EDITRICE COMPOSITORI BOLOGNA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18458
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 Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Y,Li, B. Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS,2003,118(8):767-776.
APA	Chen, Y,&Li, B.(2003).Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation.NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS,118(8),767-776.
MLA	Chen, Y,et al."Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation".NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 118.8(2003):767-776.