| Positon and negaton solutions of the mKdV equation with self-consistent sources | |
| Wu, Hongxia ; Zeng, Yunbo ; Fan, Tianyou | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | N-SOLITON SOLUTIONS DE-VRIES EQUATION NONLINEAR SCHRODINGER-EQUATION KORTEWEG-DEVRIES EQUATION SINGULAR DISPERSION-LAWS TODA LATTICE EQUATION SINE-GORDON EQUATION DARBOUX TRANSFORMATIONS COMPLEXITON SOLUTIONS KDV EQUATION Physics, Multidisciplinary Physics, Mathematical |
| 中文摘要 | By using the generalized binary Darboux transformation with arbitrary functions at time t for the negative modified KdV equation with self-consistent sources (mKdV(-)ESCSs) which offers a non-auto-Backlund transformation between two mKdV(-)ESCSs with different degrees of sources, some new solutions for the mKdV(-)ESCSs such as singular multisoliton, multipositon, multinegaton, multisoliton-positon, multisoliton-negaton and multipositon negaton solutions are found by taking the special initial solution for auxiliary linear problems and the special functions of t-time. At the same time, the properties of these solutions are analyzed in detail. |
| 语种 | 英语 ; 英语 |
| 出版者 | IOP PUBLISHING LTD ; BRISTOL ; DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13711]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Wu, Hongxia,Zeng, Yunbo,Fan, Tianyou. Positon and negaton solutions of the mKdV equation with self-consistent sources[J],2010, 2010. |
| APA | Wu, Hongxia,Zeng, Yunbo,&Fan, Tianyou.(2010).Positon and negaton solutions of the mKdV equation with self-consistent sources.. |
| MLA | Wu, Hongxia,et al."Positon and negaton solutions of the mKdV equation with self-consistent sources".(2010). |
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