The ladder problem: Painlevé integrability and explicit solution

Journal of Physics A: Mathematical and General

Volumn 36, Issue 44, 2003, Pages 11257-11265

  Andriopoulos, K ^a,c   Leach, P G L ^a,d   Nucci, M C ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b UNIVERSITY OF PERUGIA   (Italy)

^c UNIVERSITY OF ATHENS   (Greece)

^d UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242426704     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/44/006     Document Type: Article

References (10)

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2. Flessas G P, Govinder K S and Leach P G L 1997 Characterisation of the algebraic properties of first integrals of scalar ordinary differential equations of maximal symmetry J. Math. Anal. Appl. 212 349-74
3. Yoshihiro H and Kenji I 2002 A necessary condition for existence of Lie symmetries in general systems of ordinary differential equations J. Phys. Soc. Japan 71 2396-400
4. Kenji I and Yoshihiro H 2002 New integrable family in the n-dimensional homogeneous Lotka-Volterra systems with abelian Lie algebra Preprint nlin.SI/0212007 v1
5. Ince E L 1927 Ordinary Differential Equations (London: Longmans Green)
6. Krause J 1994 On the complete symmetry group of the classical Kepler system J. Math. Phys. 35 5734-48
7. Krause J 1995 On the complete symmetry group of the Kepler problem Proc. 22nd International Colloquium on Group Theoretical Methods in Physics ed A Arima (Singapore: World Scientific) pp 286-90
8. Leach P G L, Govinder K S and Abraham-Shrauner B 1999 Symmetries of first integrals and their associated differential equations J. Math. Anal. Appl. 235 58-83
9. Leach P G L, Cotsakis S and Flessas G P 2000 Symmetry, singularity and integrability in complex dynamics: I The reduction problem J. Nonlinear Math. Phys. 7 445-79
10. Nucci M C and Leach P G L 2002 Jacobi's last multiplier and the complete symmetry group of the Euler-Poinsot system J. Nonlinear Math. Phys. 9 (suppl 2) 110-21