Explicit solutions of a finite-dimensional integrable system

被引：2

作者：

Zhang, JS ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Henan 450052, Peoples R China

来源：

PHYSICS LETTERS A | 2005年 / 348卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

finite-dimensional integrable system; Darboux transformation; explicit solution;

D O I：

10.1016/j.physleta.2005.02.082

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A finite-dimensional Hamiltonian system associated with KdV equation is considered. It is an integrable system in Lionville sense. We present an effective method to construct explicit solutions of the system. Some explicit solutions are obtained. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：24 / 27

页数：4

共 50 条

[21] Construction of Separation Variables for Finite-Dimensional Integrable Systems
A. V. Tsyganov
Theoretical and Mathematical Physics, 2001, 128 : 1007 - 1024
[22] A HIERARCHY OF LIOUVILLE INTEGRABLE FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS
马文秀
AppliedMathematicsandMechanics(EnglishEdition), 1992, (04) : 369 - 377
[23] A new (in)finite-dimensional algebra for quantum integrable models
Baseilhac, P
Koizumi, K
NUCLEAR PHYSICS B, 2005, 720 (03) : 325 - 347
[24] Some integrable finite-dimensional systems and their continuous counterparts
Boiti, M
Pempinelli, F
INVERSE PROBLEMS, 1997, 13 (04) : 919 - 937
[25] A hierarchy of the Lax integrable system, its bi-Hamiltonian structure, finite-dimensional integrable system and involutive solution
Yan, ZY
CHAOS SOLITONS & FRACTALS, 2002, 13 (04) : 741 - 748
[26] 2 FINITE-DIMENSIONAL COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS ASSOCIATED WITH THE SOLUTIONS OF THE MKDV HIERARCHY
GU, ZQ
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (06) : 1531 - 1536
[27] Darboux transformation and explicit solutions to a (2+1)-dimensional integrable system
Chen, Jinbing
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2009, 124 (05): : 473 - 484
[28] Open problems, questions and challenges in finite-dimensional integrable systems
Bolsinov, Alexey
Matveev, Vladimir S.
Miranda, Eva
Tabachnikov, Serge
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 376 (2131):
[29] LÖwner evolution and finite-dimensional reductions of integrable systems
M. V. Pavlov
D. V. Prokhorov
A. Yu. Vasil’ev
A. M. Zakharov
Theoretical and Mathematical Physics, 2014, 181 : 1263 - 1278
[30] DISCRETE BARGMANN AND NEUMANN SYSTEMS AND FINITE-DIMENSIONAL INTEGRABLE SYSTEMS
GENG, XG
PHYSICA A, 1994, 212 (1-2): : 132 - 142

← 1 2 3 4 5 →