Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional dispersive long-wave equations
文献类型：期刊论文
| 作者 | Chen, Y; Li, B |
| 刊名 | INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
 |
| 出版日期 | 2004-04-01 |
| 卷号 | 42期号:7页码:715-724 |
| 关键词 | generalized Riccati equation expansion method symbolic computation (2+1)-dimensional dispersive long-wave equation soliton-like solutions solitons |
| ISSN号 | 0020-7225 |
| DOI | 10.1016/j.ijengsci.2003.06.002 |
| 英文摘要 | 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. |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000220125900007 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19696]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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