
SIGMA 5 (2009), 011, 10 pages arXiv:0901.4312
http://dx.doi.org/10.3842/SIGMA.2009.011
Contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries
On Integrability of a Special Class of TwoComponent (2+1)Dimensional HydrodynamicType Systems
Maxim V. Pavlov ^{a} and 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, 50204 Wroclaw, Poland
Received August 28, 2008, in final form January 20, 2009; Published online January 27, 2009
Abstract
The particular case of the integrable two component (2+1)dimensional
hydrodynamical type systems, which generalises the socalled Hamiltonian
subcase, is considered. The associated system in
involution is integrated in a parametric form. A dispersionless Lax
formulation is found.
Key words:
hydrodynamictype system; dispersionless Lax representation.
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