{"title":"On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases","authors":"Ge Yi, Liyun Wang, Kelei Tian, Ying Xu","doi":"10.1016/S0034-4877(23)00057-5","DOIUrl":null,"url":null,"abstract":"<div><p>The discrete modified KP hierarchies are compatible with generalized <em>k</em><span>-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian<span> determinants of functions satisfying a set of linear equations<span>. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete </span></span></span><em>k</em>-constrained mKP hierarchies.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"92 1","pages":"Pages 85-97"},"PeriodicalIF":1.0000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reports on Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0034487723000575","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The discrete modified KP hierarchies are compatible with generalized k-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian determinants of functions satisfying a set of linear equations. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete k-constrained mKP hierarchies.
期刊介绍：
Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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