| A new multicomponent CKP hierarchy and solutions | |
| Wu, Hongxia ; Zeng, Yunbo ; Fan, Tianyou | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | SELF-CONSISTENT SOURCES KAUP-KUPERSHMIDT EQUATION KADOMTSEV-PETVIASHVILI EQUATION EXTENDED KDV EQUATION N-SOLITON SOLUTIONS KP HIERARCHY TRANSFORMATION GROUPS COMPONENT KP POSITON NEGATON Physics, Mathematical |
| 中文摘要 | Based on the eigenfunction symmetry constraints, we first propose a new multicomponent C-type subhierarchy for Kadomtsev-Petviashvili (mcCKP) hierarchy and its Lax representation, which provides an effective way to find two types of new CKP equation with self-consistent sources along with their related Lax representations. Also it admits reductions to k-constrained CKP hierarchy and to a (1 + 1)-dimensional soliton hierarchy with self-consistent sources, which gives rise to two types of new Kaup-Kuperschmidt (KK) equation with self-consistent sources and two types of new bidirectional Kaup-Kuperschmidt equation with self-consistent sources. By using the solutions of the CKP and KK equations and their corresponding eigenfunctions, N-soliton solutions for the first type of CKP selfconsistent source (CKPSCS) and of KKSCS are constructed by means of method of variation in constant, respectively. (C) 2008 American Institute of Physics. |
| 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/123456789/13707]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Wu, Hongxia,Zeng, Yunbo,Fan, Tianyou. A new multicomponent CKP hierarchy and solutions[J],2010, 2010. |
| APA | Wu, Hongxia,Zeng, Yunbo,&Fan, Tianyou.(2010).A new multicomponent CKP hierarchy and solutions.. |
| MLA | Wu, Hongxia,et al."A new multicomponent CKP hierarchy and solutions".(2010). |
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