{"title":"THE BOUTROUX ANSATZ FOR THE SECOND PAINLEVÉ EQUATION IN THE COMPLEX DOMAIN","authors":"V Yu Novokshënov","doi":"10.1070/IM1991V037N03ABEH002160","DOIUrl":null,"url":null,"abstract":"An asymptotic representation of the general solution of the second Painleve equation is constructed in a sector of the complex -plane. The principal term of the asymptotics is an elliptic function whose modulus and argument are functions of . Explicit expressions of these functions are given, and an approximation as is proved for the initial Painleve function outside a small neighborhood of its lattice of poles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"387 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"34","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V037N03ABEH002160","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 34
Abstract
An asymptotic representation of the general solution of the second Painleve equation is constructed in a sector of the complex -plane. The principal term of the asymptotics is an elliptic function whose modulus and argument are functions of . Explicit expressions of these functions are given, and an approximation as is proved for the initial Painleve function outside a small neighborhood of its lattice of poles.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
