{"title":"Solution asymptotics for the system of Landau–Lifshitz equations under a saddle-node dynamical bifurcation","authors":"L. Kalyakin","doi":"10.1090/spmj/1698","DOIUrl":null,"url":null,"abstract":"A system of two nonlinear differential equations with slowly varying coefficients is treated. The asymptotics in the small parameter for the solutions that have a narrow transition layer is studied. Such a layer occurs near the moment where the number of roots of the corresponding algebraic system of equations changes. To construct the asymptotics, the matching method involving three scales is used.","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"St Petersburg Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/spmj/1698","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A system of two nonlinear differential equations with slowly varying coefficients is treated. The asymptotics in the small parameter for the solutions that have a narrow transition layer is studied. Such a layer occurs near the moment where the number of roots of the corresponding algebraic system of equations changes. To construct the asymptotics, the matching method involving three scales is used.
期刊介绍:
This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.