On a 'Mysterious' Case of a Quadratic Hamiltonian

Details On a 'Mysterious' Case of a Quadratic Hamiltonian On a 'Mysterious' Case of a Quadratic Hamiltonian

2004-08-17

arxiv.org/abs/nlin/0408027v3

SIGMA 2 (2006), 064, 4 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Pres

Scientific paper

10.3842/SIGMA.2006.064

We show that one of the five cases of a quadratic Hamiltonian, which were
recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test,
fails to pass the Painleve test for integrability.

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