General solution for Hamiltonians with extended Cubic and quartic potentials

DOI10.1023/A:1021880025669zbMath1068.37042arXivnlin/0301011MaRDI QIDQ2486931

Micheline Musette, Caroline Verhoeven, Robert Conte

Publication date: 17 August 2005

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0301011

zbMATH Keywords

Hamiltonian systemsnonlinear equationssoliton equationsseparation of variableshyperelliptic functionsHénon-Heiles equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Completeness of the cubic and quartic Hénon-Heiles hamiltonians ⋮ CYCLIC COVERINGS OF ABELIAN VARIETIES AND THE GENERALIZED YANG–MILLS SYSTEM FOR A FIELD WITH GAUGE GROUP SU(2) ⋮ Construction of Special Solutions for Nonintegrable Systems ⋮ Unnamed Item

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