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

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

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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.

discrete Korteweg-de Vries equationnonsymmetricmulti-dimensional consistencyBäcklund transformationsolution

Maebel Mesfun、Da-jun Zhang、Song-lin Zhao

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Department of Mathematics,Shanghai University,Shanghai 200444,China

Newtouch Center for Mathematics of Shanghai University,Shanghai 200444,China

Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023,China

国家自然科学基金国家自然科学基金

1227133412071432

2024

10.1088/1572-9494/ad1b4a

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
年,卷(期)：2024.76(2)
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