Seminar talk, 25 October 2017

From Geometry of Differential Equations
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Speaker: Maxim Pavlov

Title: Integrability of exceptional hydrodynamic type systems

In this talk we consider non-diagonalisable hydrodynamic type systems integrable by the Extended Hodograph Method. We restrict our consideration to non-diagonalisable hydrodynamic reductions of the Mikhalëv system. We show that families of these hydrodynamic type systems are reducible to the heat hierarchy. Then we construct new particular solutions for the Mikhalëv system.