A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems

被引：34
|
作者：
Xu, XX [1 ]
机构：
[1] Shandong Univ Sci & Technol, Dept Basic Courses, Tai An 217019, Peoples R China
来源：
PHYSICS LETTERS A | 2002年 / 301卷 / 3-4期
关键词：
integrable system; trace identity; Hamiltonian system; nonlinearization; involutive solution;
D O I：
10.1016/S0375-9601(02)00957-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalized Wadati-Konno-Ichikawa eigenvalue problem is introduced and a hierarchy of infinite-dimensional integrable Hamiltonian equations related to this eigenvalue problem is obtained. The Lax pairs of the associated hierarchy are all nonlinearized into finite-dimensional completely integrable Hamiltonian systems. An involutive representation of solution of each equation in the resulting hierarchy is given. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：250 / 262
页数：13
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