{"title":"SOLUTIONS OF LINEAR MODEL HYDRODYNAMIC EQUATIONS WITH VARIABLE COEFFICIENTS","authors":"O.V. Kaptsov","doi":"10.1134/S0021894424050080","DOIUrl":null,"url":null,"abstract":"<p>Linear model equations in partial derivatives with two independent variables are considered. The highest operator symmetries and general solutions for a series of hyperbolic equations are found. Equivalence transformations are constructed for some equations.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 5","pages":"875 - 881"},"PeriodicalIF":0.5000,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894424050080","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Linear model equations in partial derivatives with two independent variables are considered. The highest operator symmetries and general solutions for a series of hyperbolic equations are found. Equivalence transformations are constructed for some equations.
期刊介绍:
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.