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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
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
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.
Linking options:
https://www.mathnet.ru/eng/sigma357 https://www.mathnet.ru/eng/sigma/v5/p11
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Abstract page: | 253 | Full-text PDF : | 75 | References: | 33 |
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