{"title":"Higher dimensional generalizations of the chiral field equations","authors":"Vladimir Zakharov","doi":"10.1111/sapm.12736","DOIUrl":null,"url":null,"abstract":"<p>We consider the self-dual Yang–Mills equation and its reduction, the Manakov–Zakharov system. We discuss three- and four-dimensional generalizations of the chiral field equations, and explain methods for constructing their exact solutions.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"153 3","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studies in Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/sapm.12736","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the self-dual Yang–Mills equation and its reduction, the Manakov–Zakharov system. We discuss three- and four-dimensional generalizations of the chiral field equations, and explain methods for constructing their exact solutions.
期刊介绍：
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.
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