Pavlov, Maxim V.; Popowicz, Ziemowit On integrability of a special class of two-component (2+1)-dimensional hydrodynamic-type systems. (English) Zbl 1160.37398 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 011, 10 p. (2009). 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. Cited in 4 Documents MSC: 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:hydrodynamic-type system; dispersionless Lax representation PDF BibTeX XML Cite \textit{M. V. Pavlov} and \textit{Z. Popowicz}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 011, 10 p. (2009; Zbl 1160.37398) Full Text: DOI EuDML