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General Solution for Hamiltonians with Extended Cubic and Quartic Potentials |
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| Authors: | Verhoeven C Musette M Conte R |
| Institution: | (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. |
| Keywords: | Hé non– Heiles Hamiltonian systems separation of variables nonlinear equations hyperelliptic functions soliton equations |
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