{"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":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"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\":55134,\"journal\":{\"name\":\"Funkcialaj Ekvacioj-Serio Internacia\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2016-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Funkcialaj Ekvacioj-Serio Internacia\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1619/fesi.63.97\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Funkcialaj Ekvacioj-Serio Internacia","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/fesi.63.97","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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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