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

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 18卷 / 04期

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

页码：863 / 867

页数：5

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