Note on the Lax Pair of a Coupled Hybrid System

Author: Ping Liu   Pei-Kai Fu  

Publisher: IOP Publishing

ISSN: 0256-307X

Source: Chinese Physics Letters, Vol.29, Iss.1, 2012-01, pp. : 10202-10204

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Abstract

The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation. The coupled hybrid lattice, which is pointed out to be a discrete coupled KdV system, is also found to be a discrete form of a coupled mKdV system. New lax pairs for the single and coupled discrete hybrid systems are proposed as a different study from previous ones.