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

共 50 条

[31] A hierarchy of generalized AKNS equations, N-Hamiltonian structures and finite-dimensional involutive systems and integrable systems
Yan, Z
Zhang, H
JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (01) : 330 - 339
[32] A finite-dimensional integrable system related to a new coupled KdV hierarchy
Qin, Zhenyun
PHYSICS LETTERS A, 2006, 355 (06) : 452 - 459
[33] A NEW HIERARCHY OF NONLINEAR EVOLUTION-EQUATIONS AND CORRESPONDING FINITE-DIMENSIONAL COMPLETELY INTEGRABLE SYSTEMS
GENG, XG
PHYSICS LETTERS A, 1992, 162 (05) : 375 - 380
[34] Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: N simple poles and one higher-order pole
Zhang, Yongshuai
Rao, Jiguang
Cheng, Yi
He, Jingsong
PHYSICA D-NONLINEAR PHENOMENA, 2019, 399 : 173 - 185
[35] Generalized Stackel transform and reciprocal transformations for finite-dimensional integrable systems
Sergyeyev, Artur
Blaszak, Maciej
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (10)
[36] A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems
Xia, TC
Chen, XH
Chen, DY
CHAOS SOLITONS & FRACTALS, 2004, 22 (04) : 939 - 945
[37] A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy
Chen Lan-Xin
Zhang Jun-Xian
COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (06) : 1081 - 1086
[38] A Finite-Dimensional Completely Integrable System Associated with Boussinesq Hierarchy
CHEN Lan-Xin~(1
Communications in Theoretical Physics, 2009, 52 (12) : 1081 - 1086
[39] On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions
Li, Zhi-Qiang
Tian, Shou-Fu
Yang, Jin-Jie
ADVANCES IN MATHEMATICS, 2022, 409
[40] THE CONSTRAINTS OF POTENTIALS AND THE FINITE-DIMENSIONAL INTEGRABLE SYSTEMS
ZENG, YB
LI, YS
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (08) : 1679 - 1689

← 1 2 3 4 5 →