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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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