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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Pavlov, M.V., Popowicz, Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149242
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems / M.V. Pavlov, Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ.

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.