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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.3842/SIGMA.2009.011

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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