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

被引：1
|
作者：
Mesfun, Maebel [1 ,2 ]
Zhang, Da-jun [1 ,2 ]
Zhao, Song-lin [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2024年 / 76卷 / 02期
关键词：
discrete Korteweg-de Vries equation; nonsymmetric; multi-dimensional consistency; Backlund transformation; solution; CONSISTENCY;
D O I：
10.1088/1572-9494/ad1b4a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 Backlund transformations.
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页数：6
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