Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice

被引：11
|
作者：
Hu, Xing-Biao [2 ]
Yu, Guo-Fu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 03期
基金：
中国国家自然科学基金;
关键词：
integrable system; integrable discretization; Backlund transformation; Lax pair; PARTIAL DIFFERENCE-EQUATIONS; BACKLUND TRANSFORMATION; ANALOG;
D O I：
10.1080/10236190802101695
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully discrete version for the Leznov lattice are found. Backlund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented.
引用
收藏
页码：233 / 252
页数：20
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