Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 2009, Volume 5,011, 10 pp.

This article is cited in 5 papers

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

Maxim V. Pavlov^a, Ziemowit Popowicz^b

^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.

MSC: 37K10; 35Q53

Received: August 28, 2008; in final form January 20, 2009; Published online January 27, 2009

Language: English

DOI: 10.3842/SIGMA.2009.011