{"title":"与分支线性方程相关的四维painlev<s:1>型方程I:矩阵painlev<s:1>系统","authors":"H. Kawakami","doi":"10.1619/fesi.63.97","DOIUrl":null,"url":null,"abstract":"As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlev\\'e-type equations which includes the Painlev\\'e-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlev\\'e-type equations which we call the matrix Painlev\\'e systems.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems\",\"authors\":\"H. Kawakami\",\"doi\":\"10.1619/fesi.63.97\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlev\\\\'e-type equations which includes the Painlev\\\\'e-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlev\\\\'e-type equations which we call the matrix Painlev\\\\'e systems.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2016-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1619/fesi.63.97\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/fesi.63.97","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations I: Matrix Painlevé Systems
As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlev\'e-type equations which includes the Painlev\'e-type equations associated with linear systems of ramified type. In the present paper, we consider the degeneration of Painlev\'e-type equations which we call the matrix Painlev\'e systems.
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