Nonlinear partial differential equations solved by projective Riccati equations ansatz
文献类型：期刊论文
| 作者 | Li, B; Chen, Y |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 58期号:9-10页码:511-519 |
| 关键词 | general projective Riccati equations method nonlinear partial differential equation symbolic computation travelling wave solution |
| ISSN号 | 0932-0784 |
| 英文摘要 | Based on the general projective Riccati equations method and symbolic computation, some new exact travelling wave solutions are obtained for a nonlinear reaction-diffusion equation, the high-order modified Boussinesq equation and the variant Boussinesq equation. The obtained solutions contain solitary waves, singular solitary waves, periodic and rational solutions. From our results, we can not only recover the known solitary wave solutions of these equations found by existing various tanh methods and other sophisticated methods, but also obtain some new and more general travelling wave solutions. |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186706700007 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18767]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, B |
| 作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, B,Chen, Y. Nonlinear partial differential equations solved by projective Riccati equations ansatz[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2003,58(9-10):511-519. |
| APA | Li, B,&Chen, Y.(2003).Nonlinear partial differential equations solved by projective Riccati equations ansatz.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,58(9-10),511-519. |
| MLA | Li, B,et al."Nonlinear partial differential equations solved by projective Riccati equations ansatz".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 58.9-10(2003):511-519. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。