{"title":"The Dbar-dressing method for the (2+1)-dimensional DJKM equation","authors":"Shifei Sun, Biao Li","doi":"10.1088/1572-9494/ad1324","DOIUrl":null,"url":null,"abstract":"\n In this work, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is studied by means of Dbar-dressing method. A new Dbar problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation. Based on solving the Dbar equation and choosing the proper spectral transformation, the solution of DJKM equation is constructed. Furthermore, the more general solution of DJKM equation can be also obtained by ensuring the evolution of the time spectral data.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":"115 22","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2023-12-07","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/ad1324","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
In this work, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is studied by means of Dbar-dressing method. A new Dbar problem has been constructed by analyzing the characteristic function and the Green's function of its Lax representation. Based on solving the Dbar equation and choosing the proper spectral transformation, the solution of DJKM equation is constructed. Furthermore, the more general solution of DJKM equation can be also obtained by ensuring the evolution of the time spectral data.
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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