Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations
文献类型：期刊论文
| 作者 | Li, B; Chen, Y; Zhang, HQ |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2003-07-01 |
| 卷号 | 58期号:7-8页码:464-472 |
| 关键词 | auto-Backlund transformation homogeneous balance method two-dimensional Korteweg-de Vries-Burgers-type equation two-dimensional Burgers-type equation solitary-wave solution Mathematica |
| ISSN号 | 0932-0784 |
| 英文摘要 | In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Kortewegde Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions. |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185023400013 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18935]  |
| 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,Zhang, HQ. Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2003,58(7-8):464-472. |
| APA | Li, B,Chen, Y,&Zhang, HQ.(2003).Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,58(7-8),464-472. |
| MLA | Li, B,et al."Auto-Backlund transformations and exact solutions for the generalized two-dimensional Korteweg-de Vries-Burgers-type equations and Burgers-type equations".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 58.7-8(2003):464-472. |
入库方式： OAI收割
来源：数学与系统科学研究院
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