{"title":"The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources","authors":"Mengyuan Cui, Chunxia Li","doi":"arxiv-2406.05634","DOIUrl":null,"url":null,"abstract":"The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations\nwith self-consistent sources are established and solved. Two families of\nquasideterminant solutions are presented for the non-Abelian two-dimensional\nToda lattice with self-consistent sources. By employing periodic and\nquasi-periodic reductions, a matrix sine-Gordon equation with self-consistent\nsources is constructed for the first time, for which exact solutions in terms\nof quasideterminants are derived.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-06-09","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-2406.05634","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 non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations
with self-consistent sources are established and solved. Two families of
quasideterminant solutions are presented for the non-Abelian two-dimensional
Toda lattice with self-consistent sources. By employing periodic and
quasi-periodic reductions, a matrix sine-Gordon equation with self-consistent
sources is constructed for the first time, for which exact solutions in terms
of quasideterminants are derived.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
