A discrete spectral problem and related hierarchy of discrete Hamiltonian lattice equations

被引：0

作者：

Xu Xi-Xiang ^{[1
]}

Cao Wei-Li

机构：

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

[2] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2007年 / 48卷 / 02期

关键词：

lattice soliton equation; zero curvature representation; Hamiltonian structure; Lionville integrability; INTEGRABLE SYMPLECTIC MAP; SYSTEMS; SYMMETRIES;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Staring from a discrete matrix spectral problem, a hierarchy of lattice soliton equations is presented though discrete zero curvature representation. The resulting lattice soliton equations possess non-local Lax pairs. The Hamiltonian structures are established for the resulting hierarchy by the discrete trace identity. Liouville integrability of resulting hierarchy is demonstrated.

引用

页码：193 / 198

页数：6

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