A note on logarithms in the Painlevé test

Inverse Problems

Volumn 13, Issue 1, 1997, Pages 179-183

  Pickering, Andrew ^a  

^a UNIVERSITY OF KENT   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039841780     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/1/014     Document Type: Article

References (10)

1. Ablowitz M J and Segur H 1977 Exact linearisation of a Painlevé transcendent Phys. Rev. Lett. 38 1103-6
2. Weiss J, Tabor M and Carnevale G 1983 The Painlevé property for partial differential equations J. Math. Phys. 24 522-6
3. Ablowitz M J, Ramani A and Segur H 1978 Nonlinear evolution equations and ordinary differential equations of Painlevé type Lett. Nuovo Cim. 23 333-8
4. Ablowitz M J, Ramani A and Segur H 1980 A connection between nonlinear evolution equations and ordinary differential equations of P-type I J. Math. Phys. 21 715-21
5. Ward R S 1984 The Painlevé property for the self-dual gauge-field equations Phys. Lett. 102A 279-82
6. Conte R, Fordy A P and Pickering A 1993 A perturbative Painlevé approach to nonlinear differential equations Physica 69D 33-58
7. Clarkson PA 1985 The Painlevé property, a modified Boussinesq equation and a modified Kadomstev-Petvishvili equation Physica 61D 447-50
8. Kruskal M D 1992 Flexibility in applying the Painlevé test Painlevé Transcendents. Their Asymptotics and Physical Applications ed D Levi and P Winternitz (New York: Plenum)
9. Jimbo M, Kruskal M D and Miwa T 1982 Painlevé test for the self-dual Yang-Mills equation Phys. Lett. 92A 59-60
10. Conte R 1991 Towards the equivalence between integrability and Painlevé test for partial differential equations Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids ed W Rozmus and J A Tuszynski (Singapore: World Scientific)