Seminar talk, 13 March 2019

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Speaker: Maxim Pavlov

Title: A new class of integrable systems of equations and their special solutions

Abstract:
We consider a new object, integrable non-hydrodynamic chain related to the dKP hierarchy (the dispersionless limit of the Kadomtsev-Petviashvili equation).

We discuss multi-component reductions of this chain of equations. In the simplest (one-component) case a solution depending of one arbitrary function of one variable is presented.