Geodesic
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: hydrodynamic-type system; dispersionless Lax representation. 
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     author = {Maxim V. Pavlov and Ziemowit Popowicz},
     title = {On {Integrability} of {a~Special} {Class} of {Two-Component} {(2+1)-Dimensional} {Hydrodynamic-Type} {Systems}},
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Maxim V. Pavlov; Ziemowit Popowicz. On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a10/

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