| Commutativity of Pfaffianization and Backlund transformations for a special two-dimensional lattice | |
| Li, Chunxia ; Huang, Yehui ; Zeng, Yunbo | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | the special lattice Pfaffianization Backlund transformation Wronskian Pfaffian KP EQUATION Physics, Multidisciplinary |
| 中文摘要 | In this Letter, we first present the Wronskian solutions to the Backlund transformation of a special two-dimensional lattice by Blaszak and Szum [M. Blaszak, A. Szum, J. Math. Phys. 42 (2001) 225] and then derive the coupled system for the 135cklund transformation through Pfaffianization. It is shown the coupled system so obtained is nothing but the Backlund transformation for the coupled system of the special lattice [G.F. Yu, CX Li, JX Zhao, X.B. Hu, J. Nonlinear Math. Phys. 12 (2005) 316]. This implies that Pfaffianization and Backlund transformations are commutative for the special lattice. Moreover, since the two-dimensional Toda lattice equation forms one part of the special lattice, it is obvious that the commutativity is also applicable to it. (c) 2006 Elsevier B.V. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14223]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Li, Chunxia,Huang, Yehui,Zeng, Yunbo. Commutativity of Pfaffianization and Backlund transformations for a special two-dimensional lattice[J],2010, 2010. |
| APA | Li, Chunxia,Huang, Yehui,&Zeng, Yunbo.(2010).Commutativity of Pfaffianization and Backlund transformations for a special two-dimensional lattice.. |
| MLA | Li, Chunxia,et al."Commutativity of Pfaffianization and Backlund transformations for a special two-dimensional lattice".(2010). |
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