Abstract:
We consider non-diagonalizable hydrodynamic-type systems integrable by the extended hodograph method. We restrict the analysis to non-diagonalizable hydrodynamic reductions of the three-dimensional Mikhalev equation. We show that families of these hydrodynamic-type systems are reducible to the heat hierarchy. Then we construct new particular explicit solutions for the Mikhalev equation.
Keywords:integrable quasilinear systems of first order, linearly degenerate systems of first order, characteristic velocities, extended hodograph method.
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