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
收藏
页码：2481 / 2492
页数：12
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