This article is cited in 11 papers

General Solution for Hamiltonians with Extended Cubic and Quartic Potentials

C. Verhoeven^a, M. Musette^a, R. Conte<sup>b

a</sup> Vrije Universiteit
^b CEA, Service de Physique Théorique

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: Hénon–Heiles, Hamiltonian systems, separation of variables, nonlinear equations, hyperelliptic functions, soliton equations.

DOI: 10.4213/tmf147

 English version: Theoretical and Mathematical Physics, 2003, 134:1, 128–138

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