General solution for Hamiltonians with extended cubic and quartic potentials

Details General solution for Hamiltonians with extended cubic and quartic potentials General solution for Hamiltonians with extended cubic and quartic potentials

2003-01-10

arxiv.org/abs/nlin/0301011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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.

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