On the Schlesinger transformations of the sixth Painleve equation

被引：7

作者：

Conte, R ^{[1
]}

机构：

[1] CEA Saclay, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(01)01944-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following the recent discover of two new Schlesinger transformations (ST) Soi the sixth Painleve equation, we give the interrelations between all the known STs. We thus isolate the unique one which at the same rime conserves the independent variable and is not a product of other STs. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：501 / 504

页数：4

共 15 条

[1]

CONTE R, UNPUB NEW CONTIGUITY

[2]

FOKAS AS, 1981, LETT NUOVO CIMENTO, V30, P539

[3]

Fuchs R, 1905, CR HEBD ACAD SCI, V141, P555

[4]

Garnier R, 1943, CR HEBD ACAD SCI, V217, P60

[5]

Garnier R, 1912, ANN SCI ECOLE NORM S, V29, P1

[6]

GARNIER R, 1911, THESIS PARIS

[7] MONODROMY PERSERVING DEFORMATION OF LINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH RATIONAL COEFFICIENTS .2. [J].

JIMBO, M ;

MIWA, T .

PHYSICA D, 1981, 2 (03) :407-448

[8] QUADRATIC TRANSFORMATIONS FOR THE 6TH PAINLEVE EQUATION [J].

KITAEV, AV .

LETTERS IN MATHEMATICAL PHYSICS, 1991, 21 (02) :105-111

[9]

Malmquist J., 1922, ARK MAT ASTRON FYS, V17, P1

[10]

Manin YI, 1998, AM MATH SOC TRANS 2, V186, P131

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