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.

引用

页码：250 / 262

页数：13

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