{"title":"在Davey-Stewartson层次结构中具有较低负时间数的方程","authors":"A. K. Pogrebkov","doi":"10.1134/S004057792412002X","DOIUrl":null,"url":null,"abstract":"<p> Earlier, we have presented an integrable system with a negative time variable number for the Davey–Stewartson hierarchy. Here, we develop this approach to construct an integrable equation with a lower time variable number. In addition, we show that the system reduced with respect to this time yields a new integrable equation in <span>\\(1+1\\)</span> dimensions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"221 3","pages":"2022 - 2030"},"PeriodicalIF":1.0000,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Equation with a lower negative time number in the Davey–Stewartson hierarchy\",\"authors\":\"A. K. Pogrebkov\",\"doi\":\"10.1134/S004057792412002X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> Earlier, we have presented an integrable system with a negative time variable number for the Davey–Stewartson hierarchy. Here, we develop this approach to construct an integrable equation with a lower time variable number. In addition, we show that the system reduced with respect to this time yields a new integrable equation in <span>\\\\(1+1\\\\)</span> dimensions. </p>\",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":\"221 3\",\"pages\":\"2022 - 2030\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S004057792412002X\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S004057792412002X","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}
Equation with a lower negative time number in the Davey–Stewartson hierarchy
Earlier, we have presented an integrable system with a negative time variable number for the Davey–Stewartson hierarchy. Here, we develop this approach to construct an integrable equation with a lower time variable number. In addition, we show that the system reduced with respect to this time yields a new integrable equation in \(1+1\) dimensions.
期刊介绍:
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.