Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation  

作　　者：Maebel Mesfun Da-jun Zhang Song-lin Zhao 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China [2]Newtouch Center for Mathematics of Shanghai University,Shanghai 200444,China [3]Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023,China

出　　处：《Communications in Theoretical Physics》2024年第2期45-50,共6页理论物理通讯（英文版）

基　　金：supported by the NSF of China(Nos.12271334,12071432)。

摘　　要：In this paper,we present Lax pairs and solutions for a nonsymmetric lattice equation,which is a torqued version of the lattice potential Korteweg-de Vries equation.This nonsymmetric equation is special in the sense that it contains only one spacing parameter but consists of two consistent cubes with other integrable lattice equations.Using such a multidimensionally consistent property we are able to derive its two Lax pairs and also construct solutions using B?cklund transformations.

关 键 词：discrete Korteweg-de Vries equation NONSYMMETRIC multi-dimensional consistency Backlund transformation solution 

分 类 号：O175[理学—数学]