{"title":"Investigation of exact solutions and conservation laws for nonlinear fractional (2+1)-dimensional Burgers system of equations","authors":"Komal Singla","doi":"10.1016/S0034-4877(23)00056-3","DOIUrl":null,"url":null,"abstract":"<div><p>The exact solutions of fractional order (2+1)-dimensional Burgers system are determined by using symmetry approach and power series technique. Also, the graphical behaviour of the obtained solutions is provided for better interpretation. The conservation laws for the system are reported by using the new conservation theorem.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"92 1","pages":"Pages 75-83"},"PeriodicalIF":1.0000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reports on Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0034487723000563","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}
引用次数: 0
Abstract
The exact solutions of fractional order (2+1)-dimensional Burgers system are determined by using symmetry approach and power series technique. Also, the graphical behaviour of the obtained solutions is provided for better interpretation. The conservation laws for the system are reported by using the new conservation theorem.
期刊介绍：
Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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