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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 4, Pages 13–26
DOI: https://doi.org/10.4213/faa165 (Mi faa165) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Egorov Hydrodynamic Chains, the Chazy Equation, and $SL(2,\mathbb{C})$

V. M. Buchstabera, D. V. Leikinb, M. V. Pavlovc

a Steklov Mathematical Institute, Russian Academy of Sciences
b Institute of Magnetism, National Academy of Sciences of Ukraine
c Loughborough University
Full-text PDF (191 kB) Citations (11)
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DOI: https://doi.org/10.4213/faa165
Abstract: The general solution of the system of differential equations describing Egorov hydrodynamic chains is constructed. The solution is given in terms of the elliptic sigma function. Invariants of the sigma function are expressed as differential polynomials in a solution of the Chazy equation. The orbits of the induced action of $SL(2,\mathbb{C})$ and degenerating operators in the space of solutions are described.
Keywords: hydrodynamic chain, Egorov type system, Chazy equation, elliptic function, $SL(2)$.
Received: 15.09.2003
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 4, Pages 251–262
DOI: https://doi.org/10.1023/B:FAIA.0000015576.05085.bc
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: V. M. Buchstaber, D. V. Leikin, M. V. Pavlov, “Egorov Hydrodynamic Chains, the Chazy Equation, and $SL(2,\mathbb{C})$”, Funktsional. Anal. i Prilozhen., 37:4 (2003), 13–26; Funct. Anal. Appl., 37:4 (2003), 251–262
Citation in format AMSBIB
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    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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