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
References in corpus (1)
Cited by in corpus (5)
- Completeness of the cubic and quartic Hénon-Heiles Hamiltonians
- On two nonintegrable cases of the generalized Henon-Heiles system with an additional nonpolynomial term
- Construction of Special Solutions for Nonintegrable Systems
- Affine parts of abelian surfaces as complete intersection of three quartics
- On reductions of some KdV-type systems and their link to the quartic He'non-Heiles Hamiltonian