Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation | |
Chen, Y; Li, B | |
刊名 | NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS |
2003-08-01 | |
卷号 | 118期号:8页码:767-776 |
ISSN号 | 0369-3554 |
DOI | 10.1393/ncb/i2003-10057-8 |
英文摘要 | 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. |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | EDITRICE COMPOSITORI BOLOGNA |
WOS记录号 | WOS:000221386900004 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18457] |
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. |
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