(1) Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel, Brussels, Belgium;(2) CEA, Service de Physique de l'Etat Condensé, Saclay, France
Abstract:
In terms of hyperelliptic functions, we integrate a two-particle Hamiltonian with quartic potential and additional linear and nonpolynomial terms in the Liouville integrable cases 1:6:1 and 1:6:8.