Integrability of exceptional hydrodynamic-type systems

Maxim V. Pavlov

Informatics and Automation, Topology and physics, Tome 302 (2018), pp. 343-353.

Résumé

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.

Détail

Keywords: integrable quasilinear systems of first order, linearly degenerate systems of first order, characteristic velocities, extended hodograph method.

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