The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg - De Vries equation

Nonlinearity

Volumn 10, Issue 1, 1997, Pages 71-79

  Joshi, Nalini ^a   Srinivasan, Gopala K ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002480974     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/005     Document Type: Article

References (7)

1. Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (London Math. Soc. Lect. Note. Ser 149) (Cambridge: Cambridge University Press)
2. Ablowitz M J, Ramani A and Segur H 1978 Nonlinear evolution equations and ordinary differential equations of Painlevé type Lett. Nuovo Cimento 23 333-8
3. Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of P-type I, II J. Math. Phys. 21 715-21, 1006-15
4. Joshi N and Petersen J A 1994 A method of proving the convergence of the Painlevé expansions of PDEs Nonlinearity 7 595-602
5. Joshi N and Kruskal M 1994 A direct proof that solutions of the six Painlevé equations have no movable singularities except poles Stud. Appl. Math. 93 187-207
6. Kichenassamy S and Littman W 1993 Blow-up surfaces for nonlinear wave equations-I, II Commun. PDE 18 431-52, 1869-94
7. Weiss J, Tabor M and Carnevale G 1983 The Painlevé property for partial differential equations J. Math. Phys. 24 522-6