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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 011, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.011 (Mi sigma357) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems

Maxim V. Pavlova, Ziemowit Popowiczb

a Department of Mathematical Physics, P. N. Lebedev Physical Institute of RAS, 53 Leninskii Ave., 119991 Moscow, Russia
b Institute of Theoretical Physics, University of Wroclaw, pl. M.  Borna 9, 50-204 Wroclaw, Poland
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DOI: https://doi.org/10.3842/SIGMA.2009.011
Abstract: The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.
Keywords: hydrodynamic-type system; dispersionless Lax representation.
Received: August 28, 2008; in final form January 20, 2009; Published online January 27, 2009
Bibliographic databases:
Document Type: Article
MSC: 37K10; 35Q53
Language: English
Citation: Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 5 (2009), 011, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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