| N-soliton solutions for a (2+1)-dimensional breaking soliton equation with self-consistent sources | |
| Yao, Yuqin ; Chen, Dengyuan ; Zeng, Yunbo | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | (2+1)-dimensional breaking soliton equation with self-consistent sources Hirota method Wronskian technique Dynamics KADOMTSEV-PETVIASHVILI EQUATION COUPLED KDV SYSTEM DARBOUX TRANSFORMATIONS EVOLUTION-EQUATIONS VARIABLE SEPARATION KORTEWEG-DEVRIES VRIES EQUATION WRONSKIAN FORM WAVE SOLUTIONS INTEGRAL-TYPE Mathematics, Applied Mathematics |
| 中文摘要 | A (2 + 1)-dimensional breaking soliton equation with self-consistent sources ((2 + 1) DBSESCS) is derived. The bilinear form of it is obtained and the N-soliton solutions are worked out by means of the Hirota method and Wronskian technique, respectively. By making use of the Laplace expansion formula, a simple method is presented to treat the nonlinear term in the bilinear equation and finish the Wronskian verification. The dynamics and source effects are investigated. (C) 2009 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81208]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Yao, Yuqin,Chen, Dengyuan,Zeng, Yunbo. N-soliton solutions for a (2+1)-dimensional breaking soliton equation with self-consistent sources[J],2010, 2010. |
| APA | Yao, Yuqin,Chen, Dengyuan,&Zeng, Yunbo.(2010).N-soliton solutions for a (2+1)-dimensional breaking soliton equation with self-consistent sources.. |
| MLA | Yao, Yuqin,et al."N-soliton solutions for a (2+1)-dimensional breaking soliton equation with self-consistent sources".(2010). |
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