{"title":"非对称离散 Korteweg-de Vries 方程的可积分性和解","authors":"Maebel Mesfun, Da-jun Zhang, Song-lin Zhao","doi":"10.1088/1572-9494/ad1b4a","DOIUrl":null,"url":null,"abstract":"\n 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.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation\",\"authors\":\"Maebel Mesfun, Da-jun Zhang, Song-lin Zhao\",\"doi\":\"10.1088/1572-9494/ad1b4a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n 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.\",\"PeriodicalId\":508917,\"journal\":{\"name\":\"Communications in Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Theoretical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1572-9494/ad1b4a\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad1b4a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation
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.
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