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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 263–285
DOI: https://doi.org/10.4213/tmf5978 (Mi tmf5978) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Integrability of the Egorov systems of hydrodynamic type

M. V. Pavlov

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (538 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf5978
Abstract: We present integrability criterion for the Egorov systems of hydrodynamic type. We find the general solution by the generalized hodograph method and give examples. We discuss a description of triorthogonal curvilinear coordinate systems from the standpoint of reciprocal transformations.
Keywords: Hamiltonian structure, reciprocal transformation, Egorov metric, system of hydrodynamic type, Riemann invariant, extended hodograph method, generalized hodograph method.
Received: 01.05.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 225–243
DOI: https://doi.org/10.1007/s11232-007-0017-0
Bibliographic databases:
Language: Russian
Citation: M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, TMF, 150:2 (2007), 263–285; Theoret. and Math. Phys., 150:2 (2007), 225–243
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v150/i2/p263
    • This publication is cited in the following 10 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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