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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 2, Pages 212–230
DOI: https://doi.org/10.4213/tmf564 (Mi tmf564) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy

G. Falquia, F. Magrib, G. Tondoc

a International School for Advanced Studies (SISSA)
b Universita di Milano-Bicocca
c University of Trieste
Full-text PDF (331 kB) Citations (34)
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DOI: https://doi.org/10.4213/tmf564
Abstract: We discuss the Boussinesq system with the stationary time $t_5$ within a general framework of stationary flows of $n$-Gel'fand–Dickey hierarchies. A careful use of the bi-Hamiltonian structure can provide a set of separation coordinates for the corresponding Hamilton–Jacobi equations.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 2, Pages 176–192
DOI: https://doi.org/10.1007/BF02551195
Bibliographic databases:
Language: Russian
Citation: G. Falqui, F. Magri, G. Tondo, “Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy”, TMF, 122:2 (2000), 212–230; Theoret. and Math. Phys., 122:2 (2000), 176–192
Citation in format AMSBIB
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\paper Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy
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\pages 212--230
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 2
\pages 176--192
\crossref{https://doi.org/10.1007/BF02551195}
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  • https://doi.org/10.4213/tmf564
  • https://www.mathnet.ru/eng/tmf/v122/i2/p212
    • This publication is cited in the following 34 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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    Full-text PDF :227
    References:50
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