{"title":"The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources","authors":"Mengyuan Cui, Chunxia Li, Yuqin Yao","doi":"arxiv-2404.14969","DOIUrl":null,"url":null,"abstract":"The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent\nsources is constructed using the source generation producure, whose solutions\nare expressed in terms of pfaffians. As special cases of the pfaffian\nsolutions, different types of explicit solutions are presented, including\ndromions, soliton solutions and breather solutions.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Exactly Solvable and Integrable Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.14969","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent
sources is constructed using the source generation producure, whose solutions
are expressed in terms of pfaffians. As special cases of the pfaffian
solutions, different types of explicit solutions are presented, including
dromions, soliton solutions and breather solutions.
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