{"title":"Linearization of Some Classes of Monge–Ampère Equations","authors":"A. V. Aksenov, A. D. Polyanin","doi":"10.3103/S0027133026700160","DOIUrl":null,"url":null,"abstract":"<p>New classes of Monge–Ampère equations of a fairly general form are described, depending on one to five arbitrary functions that allow exact linearization. The Euler, Legendre, and hodograph transformations are used.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 3","pages":"103 - 106"},"PeriodicalIF":0.5000,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133026700160","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
New classes of Monge–Ampère equations of a fairly general form are described, depending on one to five arbitrary functions that allow exact linearization. The Euler, Legendre, and hodograph transformations are used.
期刊介绍:
Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.