{"title":"Cauchy matrix approach for H1 a equation in the torqued Adler–Bobenko–Suris lattice list","authors":"Jing Wang, Song-lin Zhao, Shoufeng Shen","doi":"10.1088/1572-9494/ad5991","DOIUrl":null,"url":null,"abstract":"As a torqued version of the lattice potential Korteweg–de Vries equation, the H1<sup>\n<italic toggle=\"yes\">a</italic>\n</sup> is an integrable nonsymmetric lattice equation with only one spacing parameter. In this paper, we present the Cauchy matrix scheme for this equation. Soliton solutions, Jordan-block solutions and soliton-Jordan-block mixed solutions are constructed by solving the determining equation set. All the obtained solutions have jumping property between constant values for fixed <italic toggle=\"yes\">n</italic> and demonstrate periodic structure.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":"76 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad5991","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
As a torqued version of the lattice potential Korteweg–de Vries equation, the H1a is an integrable nonsymmetric lattice equation with only one spacing parameter. In this paper, we present the Cauchy matrix scheme for this equation. Soliton solutions, Jordan-block solutions and soliton-Jordan-block mixed solutions are constructed by solving the determining equation set. All the obtained solutions have jumping property between constant values for fixed n and demonstrate periodic structure.
期刊介绍：
Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of:
mathematical physics
quantum physics and quantum information
particle physics and quantum field theory
nuclear physics
gravitation theory, astrophysics and cosmology
atomic, molecular, optics (AMO) and plasma physics, chemical physics
statistical physics, soft matter and biophysics
condensed matter theory
others
Certain new interdisciplinary subjects are also incorporated.
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