Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

被引：15

作者：

Zhu, ZN ^{[1
]}

Xue, WM

Wu, XN

Zhu, ZM

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

[2] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] China Coal Econ Coll, Dept Math, Shandong 264005, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 24期

关键词：

D O I：

10.1088/0305-4470/35/24/307

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, by means of the Lax representations, we demonstrate the existence of infinitely many conservation laws for the general Toda-type lattice equation, the relativistic Volterra lattice equation, the Suris lattice equation and some other lattice equations. The conserved density and the associated flux are given formulaically. We also give an integrable discretization for a lattice equation with n dependent coefficients.

引用

页码：5079 / 5091

页数：13

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