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

Maebel Mesfun ¹Da-jun Zhang ¹Song-lin Zhao²

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作者信息

1. Department of Mathematics,Shanghai University,Shanghai 200444,China;Newtouch Center for Mathematics of Shanghai University,Shanghai 200444,China
2. Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023,China
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Abstract

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 Bäcklund transformations.

Key words

discrete Korteweg-de Vries equation/nonsymmetric/multi-dimensional consistency/Bäcklund transformation/solution

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基金项目

国家自然科学基金(12271334)

国家自然科学基金(12071432)

出版年

2024

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

参考文献量19

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