Non-integrability of the second Painleve equation as a Hamiltonian system

Details Non-integrability of the second Painleve equation as a Hamiltonian system Non-integrability of the second Painleve equation as a Hamiltonian system

2011-03-12

arxiv.org/abs/1103.2443v1

Compte Rendu de l'academie bulgare des sciences, 60 (2007), 13-18

Mathematics

Dynamical Systems

Scientific paper

We prove non-existence of an additional rational integral for the second
Painleve equation considered as a Hamiltonian system using Morales - Ramis
theory.

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