A HIERARCHY OF LIOUVILLE INTEGRABLE LATTICE EQUATION ASSOCIATED WITH A THREE-BY-THREE DISCRETE SPECTRAL PROBLEM AND ITS INFINITELY MANY CONSERVATION LAWS

被引：0

作者：

Li, Yu-Qing ^{[1
]}

Xu, Xi-Xiang ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 18期

关键词：

Lattice soliton equation; discrete zero curvature representation; trace identity; Hamiltonian structure; Liouville integrable; conservation law; HAMILTONIAN-STRUCTURE; MASTER-SYMMETRIES; SEMIDIRECT SUMS; SOLITON SYSTEMS; TRACE IDENTITY; SYMPLECTIC MAP; LIE-ALGEBRAS;

D O I：

10.1142/S0217979211100321

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A discrete three-by-three matrix spectral problem is put forward and the corresponding discrete soliton equations are deduced. By means of the trace identity the Hamiltonian structures of the resulting equations are constructed, and furthermore, infinitely many conservation laws of the corresponding lattice system are obtained by a direct way.

引用

页码：2481 / 2492

页数：12

共 42 条

[1] THE LIOUVILLE INTEGRABLE LATTICE EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM
Li, Xin-Yue
Li, Xiao-Jing
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[2] A Liouville integrable lattice soliton equation, infinitely many conservation laws and integrable coupling systems
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[3] Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrodinger spectral problem
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PHYSICS LETTERS A, 2003, 310 (04) : 281 - 294
[4] Integrable Properties Associated with a Discrete Three-by-Three Matrix Spectral Problem
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[5] Integrable Properties Associated with a Discrete Three-by-Three Matrix Spectral Problem
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[6] Isospectral and Nonisospectral Lattice Hierarchies Associated with a Discrete Spectral Problem and Their Infinitely Many Conservation Laws
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[7] Isospectral and Nonisospectral Lattice Hierarchies Associated with a Discrete Spectral Problem and Their Infinitely Many Conservation Laws
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[8] Two new integrable lattice hierarchies associated with a discrete Schrodinger nonisospectral problem and their infinitely many conservation laws
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[9] A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws
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[10] A FAMILY OF DISCRETE HAMILTONIAN EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM
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Xu, Xi-Xiang
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (19): : 3657 - 3667

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