{"title":"负对称分类问题","authors":"M. P. Kolesnikov","doi":"10.1134/S0040577925080057","DOIUrl":null,"url":null,"abstract":"<p> We introduce a method for constructing negative symmetries from consistent triples of differential and differential-difference equations. We also study the relation between <span>\\(3\\)</span>D consistent equations in the discrete and continuous case. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 2","pages":"1398 - 1413"},"PeriodicalIF":1.1000,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The negative symmetry classification problem\",\"authors\":\"M. P. Kolesnikov\",\"doi\":\"10.1134/S0040577925080057\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> We introduce a method for constructing negative symmetries from consistent triples of differential and differential-difference equations. We also study the relation between <span>\\\\(3\\\\)</span>D consistent equations in the discrete and continuous case. </p>\",\"PeriodicalId\":797,\"journal\":{\"name\":\"Theoretical and Mathematical Physics\",\"volume\":\"224 2\",\"pages\":\"1398 - 1413\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-08-23\",\"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/S0040577925080057\",\"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/S0040577925080057","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}
We introduce a method for constructing negative symmetries from consistent triples of differential and differential-difference equations. We also study the relation between \(3\)D consistent equations in the discrete and continuous case.
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.