The integrable couplings of the Modified Jaulent-Miodek hierarchy and its Hamiltonian structure

被引：3

作者：

Zhang, Jiao ^{[1
]}

机构：

[1] Liaoning Univ Petr & Chem Technol, Coll Sci, Fushun 113001, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 01期

关键词：

MKDV HIERARCHY; EQUATIONS; SYSTEMS; ALGEBRA;

D O I：

10.1016/j.chaos.2007.07.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new higher-dimensional matrix isospectral problem is proposed to construct the integrable couplings of the Modified Jaulent-Miodek (MJM) hierarchy. The Hamiltonian structure of the integrable couplings of the MJM hierarchy is worked out by a proper linear isomorphic map and the quadratic-form identity. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：138 / 144

页数：7

共 13 条

[1] FACTORIZATION OF ENERGY-DEPENDENT SCHRODINGER-OPERATORS - MIURA MAPS AND MODIFIED SYSTEMS
ANTONOWICZ, M
FORDY, AP
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 124 (03) : 465 - 486
[2] Drazin P G, 1988, SOLITONS INTRO
[3] FUSSTEINER B, 1993, APPL ANAL GEOMETRIC, P25
[4] The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
Guo, FK
Zhang, YF
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (40): : 8537 - 8548
[5] The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
Guo, Fukui
Zhang, Yufeng
[J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1898 - 1902
[6] Integrable theory of the perturbation equations
Ma, WX
Fuchssteiner, B
[J]. CHAOS SOLITONS & FRACTALS, 1996, 7 (08) : 1227 - 1250
[7] Enlarging spectral problems to construct integrable couplings of soliton equations
Ma, WX
[J]. PHYSICS LETTERS A, 2003, 316 (1-2) : 72 - 76
[8] Newell AC, 1985, SOLITON MATH PHYS
[9] A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system
Xia, TC
You, FC
[J]. CHAOS SOLITONS & FRACTALS, 2006, 28 (04) : 938 - 948
[10] A new loop algebra and its application to the multi-component S-mKdV hierarchy
Xia, Tiecheng
Hao, Zhang
You, Fucai
[J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (03) : 870 - 878

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