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General solution for Hamiltonians with extended cubic and quartic potentials

arXiv:nlin/0301011 · doi:10.1023/A:1021880025669

Abstract

We integrate with hyperelliptic functions a two-particle Hamiltonian with quartic potential and additionnal linear and nonpolynomial terms in the Liouville integrable cases 1:6:1 and 1:6:8.

LaTex 2e. To appear, Theoretical and Mathematical Physics 2003