| The Boussinesq equation with self-consistent sources | |
| Wu, Hongxia ; Zeng, Yunbo ; Fan, Tianyou | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | N-SOLITON SOLUTIONS NONLINEAR INTEGRABLE SYSTEMS SINGULAR DISPERSION-LAWS KDV EQUATION KORTEWEG-DEVRIES HIERARCHY WAVES EVOLUTIONS SCATTERING POSITONS Mathematics, Applied Physics, Mathematical |
| 中文摘要 | The Boussinesq equation with self-consistent sources (BESCSs) and its related linear system are derived for the first time. The Darboux transformation for the adjoint Lax pairs of the Boussinesq equation is also constructed. Starting from the solutions of the Boussinesq equation and the corresponding eigenfunctions obtained by the Darboux transformation, the method of variation of constant is applied to solve BESCS. By this method, we construct N-soliton, N-negaton, N-positon and collapse solutions for BESCSs. In addition, the interaction of two solitons is studied 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/123456789/13897]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Wu, Hongxia,Zeng, Yunbo,Fan, Tianyou. The Boussinesq equation with self-consistent sources[J],2010, 2010. |
| APA | Wu, Hongxia,Zeng, Yunbo,&Fan, Tianyou.(2010).The Boussinesq equation with self-consistent sources.. |
| MLA | Wu, Hongxia,et al."The Boussinesq equation with self-consistent sources".(2010). |
| 个性服务 |
| 查看访问统计 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
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。
修改评论