Discrete and continuous integrable systems possessing the same non-dynamical r-matrix | |
Qiao, ZJ ; Zhou, RG | |
1997 | |
关键词 | CONSTRAINED FLOWS SYMPLECTIC MAPS HIERARCHY EQUATIONS REPRESENTATION NEUMANN |
英文摘要 | We consider two different Lax representations with the same Lax matrix in terms of 2 x 2 traceless matrices: one produces the discrete integrable symplectic mapping resulting from the well-known Toda spectral problem under the discrete Bargmann-Gamier (BG) constraint; the other generates the continuous non-linearized integrable system for the c-KdV spectra problem under the corresponding BG constraint. We are surprised to find that the two very different (one is discrete, the other continuous) integrable systems possess the same non-dynamical r-matrix. (C) 1997 Published by Elsevier Science B.V.; Physics, Multidisciplinary; SCI(E); 19; ARTICLE; 1; 35-40; 235 |
语种 | 英语 |
出处 | SCI |
出版者 | physics letters a |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/257911] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Qiao, ZJ,Zhou, RG. Discrete and continuous integrable systems possessing the same non-dynamical r-matrix. 1997-01-01. |
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