Rational solutions of Painleve equations

CSpace

	Rational solutions of Painleve equations
	Yuan, WJ ; Li, YZ
	2002-06-01
发表期刊	CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN	0008-414X
卷号	54 期号:3 页码:648-670
摘要	Consider the sixth Painleve equation (P-6) below where alpha, beta, gamma and delta are complex parameters. We prove the necessary and sufficient conditions for the existence of rational solutions of equation (P-6) in term of special relations among the parameters. The number of distinct rational solutions in each case is exactly one or two or infinite. And each of them may be generated by means of transformation group found by Okamoto [7] and Backlund transformations found by Fokas and Yortsos [4]. A list of rational solutions is included in the appendix. For the sake of completeness, we collected all the corresponding results of other five Painleve equations (P-1)-(P-5) below, which have been investigated by many authors [1]-[7].
关键词	Painleve differential equation rational function Backlund transformation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000175645100010
出版者	CANADIAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17391
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, WJ
作者单位	1.Guangzhou Univ, Dept Math, Guihuagang Sch Dist, Guangzhou 510405, Peoples R China 2.Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
推荐引用方式 GB/T 7714	Yuan, WJ,Li, YZ. Rational solutions of Painleve equations[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,2002,54(3):648-670.
APA	Yuan, WJ,&Li, YZ.(2002).Rational solutions of Painleve equations.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,54(3),648-670.
MLA	Yuan, WJ,et al."Rational solutions of Painleve equations".CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 54.3(2002):648-670.