Singular normal form for the Painlevé equation P1

Nonlinearity

Volumn 11, Issue 5, 1998, Pages 1195-1208

  Costin, Ovidiu ^a,b   Costin, Rodica D ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042724119     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/5/002     Document Type: Article

References (10)

1. Painlevé P 1902 Sur les équations differentielles du second ordre et d'ordre superieur dont l'intégrale génerale est uniforme Acta Math. 25 1-86
2. Its A R and Novokshenov V Yu 1986 Isomonodromic Deformation Method in the Theory of Painlevé Equations (Lecture Notes in Mathematics 1191) (New York: Springer)
3. Mehta M L 1991 Random Matrices 2nd edn (Boston, MA: Academic)
4. Arnold V I 1988 Geometrical Methods in the Theory of Ordinary Differential Equations 2nd edn (New York: Springer)
5. Flaschka H and Newell A C 1980 Monodromy and spectrum preserving deformations. I Commun. Math. Phys. 76 67-116
6. Jimbo M, Miwa T and Ueno K 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I Physica D 2 306-52
7. Jimbo M and Miwa T 1981 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients II Physica D 2 407-48
8. Joshi N and Kruskal M D 1992 A direct proof that solutions of the first Painlevé equation have no movable singularities except poles Nonlinear Evolution Equations and Dynamical Systems (Baia Verde, 1991) (River Edge, NJ: World Scientific) pp 310-17
9. Joshi N and Kruskal M D 1994 A direct proof that solutions of the six Painlevé equations have no movable singularities except poles Stud. Appl. Math. 93 187-207
10. Costin O 1997 Correlation between pole location and asymptotic behavior for Painlevé I solutions MSRI Preprint no 1997-094