| A generalized dressing approach for solving the extended KP and the extended mKP hierarchy | |
| Liu, Xiaojun ; Lin, Runliang ; Jin, Bo ; Zeng, Yunbo | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | eigenvalues and eigenfunctions Korteweg-de Vries equation solitons SELF-CONSISTENT SOURCES N-COMPONENT KP BACKLUND-TRANSFORMATIONS INTEGRABLE SYSTEMS SOLITON-EQUATIONS Physics, Mathematical |
| 中文摘要 | A combination of dressing method and variation of constants as well as a formula for constructing the eigenfunction is used to solve the extended KP hierarchy, which is a hierarchy with one more series of time flow and based on the symmetry constraint of KP hierarchy. Similarly, extended mKP hierarchy is formulated and its zero-curvature form, Lax representation, and reductions are presented. Via gauge transformation, it is easy to transform dressing solutions of extended KP hierarchy to the solutions of extended mKP hierarchy. Wronskian solutions of extended KP and extended mKP hierarchies are constructed explicitly. |
| 语种 | 英语 ; 英语 |
| 出版者 | AMER INST PHYSICS ; MELVILLE ; CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81279]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Liu, Xiaojun,Lin, Runliang,Jin, Bo,et al. A generalized dressing approach for solving the extended KP and the extended mKP hierarchy[J],2010, 2010. |
| APA | Liu, Xiaojun,Lin, Runliang,Jin, Bo,&Zeng, Yunbo.(2010).A generalized dressing approach for solving the extended KP and the extended mKP hierarchy.. |
| MLA | Liu, Xiaojun,et al."A generalized dressing approach for solving the extended KP and the extended mKP hierarchy".(2010). |
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