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

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.

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Bibliographic Details
Published in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.011
Main Author: Pavlov, Maxim V.
Format: Article
Language:English
Subjects:
dispersionless Lax representation
hydrodynamic-type system
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Description
Summary: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2009.011