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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 1, Pages 113–121
DOI: https://doi.org/10.4213/tmf891 (Mi tmf891) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type

L. V. Bogdanov, E. V. Ferapontov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (190 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf891
Abstract: A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type is constructed using the formal Baker–Akhiezer functions for a (2+12+1)-dimensional nn-wave system.
Received: 19.03.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 1, Pages 829–835
DOI: https://doi.org/10.1007/BF02557125
Bibliographic databases:
Language: Russian
Citation: L. V. Bogdanov, E. V. Ferapontov, “A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type”, TMF, 116:1 (1998), 113–121; Theoret. and Math. Phys., 116:1 (1998), 829–835
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\vol 116
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\pages 829--835
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  • https://www.mathnet.ru/eng/tmf891
  • https://doi.org/10.4213/tmf891
  • https://www.mathnet.ru/eng/tmf/v116/i1/p113
    • This publication is cited in the following 5 articles:
    1. Maltsev A.Ya., Novikov S.P., “Poisson Brackets of Hydrodynamic Type and Their Generalizations”, J. Exp. Theor. Phys., 132:4, SI (2021), 645–657  crossref  isi
    2. Bulchandani V.B., “On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems”, J. Phys. A-Math. Theor., 50:43 (2017), 435203  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    3. Maltsev, AY, “Weakly nonlocal symplectic structures, Whitham method and weakly nonlocal symplectic structures of hydrodynamic type”, Journal of Physics A-Mathematical and General, 38:3 (2005), 637  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    4. Ferapontov, EV, “Reciprocal transformations of Hamiltonian operators of hydrodynamic type: Nonlocal Hamiltonian formalism for linearly degenerate systems”, Journal of Mathematical Physics, 44:3 (2003), 1150  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    5. Maltsev A.Y., Novikov S.P., “On the local systems Hamiltonian in the weakly non-local Poisson brackets”, Physica D, 156:1–2 (2001), 53–80  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    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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