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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 1, Pages 148–159
DOI: https://doi.org/10.4213/tmf147 (Mi tmf147) 		 
This article is cited in 11 scientific papers (total in 11 papers)

General Solution for Hamiltonians with Extended Cubic and Quartic Potentials

C. Verhoevena, M. Musettea, R. Conteb

a Vrije Universiteit
b CEA, Service de Physique Théorique
Full-text PDF (220 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf147
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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 1, Pages 128–138
DOI: https://doi.org/10.1023/A:1021880025669
Bibliographic databases:
Language: Russian
Citation: C. Verhoeven, M. Musette, R. Conte, “General Solution for Hamiltonians with Extended Cubic and Quartic Potentials”, TMF, 134:1 (2003), 148–159; Theoret. and Math. Phys., 134:1 (2003), 128–138
Citation in format AMSBIB
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\paper General Solution for Hamiltonians with Extended Cubic and Quartic Potentials
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 1
\pages 128--138
\crossref{https://doi.org/10.1023/A:1021880025669}
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  • https://www.mathnet.ru/eng/tmf/v134/i1/p148
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:72
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