General solution for Hamiltonians with extended cubic and quartic potentials
Exactly Solvable and Integrable Systems
2017-10-16 v1
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.
Keywords
Cite
@article{arxiv.nlin/0301011,
title = {General solution for Hamiltonians with extended cubic and quartic potentials},
author = {C. Verhoeven and M. Musette and R. Conte},
journal= {arXiv preprint arXiv:nlin/0301011},
year = {2017}
}
Comments
LaTex 2e. To appear, Theoretical and Mathematical Physics 2003