{"title":"从等单调变形的观点看painlev<s:1>方程的合并图","authors":"Y. Ohyama, S. Okumura","doi":"10.1088/0305-4470/39/39/S08","DOIUrl":null,"url":null,"abstract":"We revise Garnier–Okamoto's coalescent diagram of isomonodromic deformations and give a possible coalescent diagram from the viewpoint of isomonodromic deformations. We have ten types of isomonodromic deformations and two of them give the same type of Painlevé equation. We can naturally put the 34th Painlevé equation in our diagram, which corresponds to the Flaschka–Newell form of the second Painlevé equation.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"67","resultStr":"{\"title\":\"A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations\",\"authors\":\"Y. Ohyama, S. Okumura\",\"doi\":\"10.1088/0305-4470/39/39/S08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We revise Garnier–Okamoto's coalescent diagram of isomonodromic deformations and give a possible coalescent diagram from the viewpoint of isomonodromic deformations. We have ten types of isomonodromic deformations and two of them give the same type of Painlevé equation. We can naturally put the 34th Painlevé equation in our diagram, which corresponds to the Flaschka–Newell form of the second Painlevé equation.\",\"PeriodicalId\":87442,\"journal\":{\"name\":\"Journal of physics A: Mathematical and general\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"67\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of physics A: Mathematical and general\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/39/39/S08\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/39/S08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
We revise Garnier–Okamoto's coalescent diagram of isomonodromic deformations and give a possible coalescent diagram from the viewpoint of isomonodromic deformations. We have ten types of isomonodromic deformations and two of them give the same type of Painlevé equation. We can naturally put the 34th Painlevé equation in our diagram, which corresponds to the Flaschka–Newell form of the second Painlevé equation.
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