Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation
文献类型：期刊论文
| 作者 | Xia, Tiecheng1,2; Xiong, Shouquan1,2 |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 60期号:3页码:919-923 |
| 关键词 | (2+1)-dimensional Bogoyavlenskii's breaking soliton equation (G '/G)-expansion method Hyperbolic function solutions Trigonometric function solutions Rational solutions |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2010.05.037 |
| 英文摘要 | In this paper, the generalized (G'/G)-expansion method (Wang et al. (2008) and Zhang et al. (2008) [13, 14]) is used to construct exact solutions of the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. If the parameters take different values, some more solutions are derived. It is shown that the generalized (G'/G)-expansion method, with the help of symbolic computation, provides an effective and powerful method for solving high-dimensional nonlinear partial differential equations in mathematical physics. (C) 2010 Elsevier Ltd. All rights reserved. |
| 资助项目 | Natural Science Foundation of Shanghai[09 ZR1410800] ; Science Foundation of Key Laboratory of Mathematics Mechanization[KLMM0806] ; Shanghai Leading Academic Discipline Project[J50101] ; Key Disciplines of Shanghai Municipality[S30104] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000280935400048 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9248]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xia, Tiecheng |
| 作者单位 | 1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xia, Tiecheng,Xiong, Shouquan. Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2010,60(3):919-923. |
| APA | Xia, Tiecheng,&Xiong, Shouquan.(2010).Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation.COMPUTERS & MATHEMATICS WITH APPLICATIONS,60(3),919-923. |
| MLA | Xia, Tiecheng,et al."Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation".COMPUTERS & MATHEMATICS WITH APPLICATIONS 60.3(2010):919-923. |
入库方式： OAI收割
来源：数学与系统科学研究院
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