Lax pairs and conservation laws for two differential-difference systems

被引:2
|
作者
Li, CX [1 ]
机构
[1] Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
关键词
D O I
10.1016/S0960-0779(03)00058-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A coupled extended Lotka-Volterra lattice and a special Toda lattice are derived from the existing bilinear equations. Starting from the corresponding bilinear Bcklund transformation, Lax pairs for these two differential-difference systems are obtained. Furthermore, an infinite number of conservation laws for the differential-difference equations are deduced from the Lax pairs in a systematic way. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
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页码:863 / 867
页数:5
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