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General solution for Hamiltonians with extended cubic and quartic potentials

C. Verhoeven·M. Musette·R. Conte
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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.

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C. Verhoeven, M. Musette, R. Conte. 2003-01-10. General solution for Hamiltonians with extended cubic and quartic potentials. https://doi.org/10.1023/a%3A1021880025669

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