✦ LIBER ✦

Lax pairs and conservation laws for two differential-difference systems

✍ Scribed by Chun-Xia Li

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 82 KB
Volume: 18
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(03)00058-4

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✦ Synopsis

A coupled extended Lotka-Volterra lattice and a special Toda lattice are derived from the existing bilinear equations. Starting from the corresponding bilinear B€ a acklund 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.

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