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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 1, Pages 38–54
DOI: https://doi.org/10.4213/faa135 (Mi faa135) 		 
This article is cited in 33 scientific papers (total in 33 papers)

Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type

M. V. Pavlov, S. P. Tsareva

a Krasnoyarsk State Pedagogical University named after V. P. Astaf'ev
Full-text PDF (217 kB) Citations (33)
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DOI: https://doi.org/10.4213/faa135
Abstract: We prove a simple condition under which the metric corresponding to a diagonalizable semi-Hamiltonian hydrodynamic type system belongs to the class of Egorov (potential) metrics. For Egorov diagonal hydrodynamic type systems satisfying natural semisimplicity and homogeneity conditions, we prove necessary and sufficient conditions under which the third structure is local or corresponds to a metric of constant curvature. The results are illustrated by some well-known physical examples of such systems.
Keywords: Egorov metric, Hamiltonian structure, hydrodynamic type systems, Riemann invariant, Whitham equations, Benney chain.
Received: 05.06.2002
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 1, Pages 32–45
DOI: https://doi.org/10.1023/A:1022971910438
Bibliographic databases:
Document Type: Article
UDC: 514.7+517.956.35
Language: Russian
Citation: M. V. Pavlov, S. P. Tsarev, “Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 38–54; Funct. Anal. Appl., 37:1 (2003), 32–45
Citation in format AMSBIB
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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