Seminar talk, 25 November 2015

From Geometry of Differential Equations
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Speaker: Maxim Pavlov

Title: How to construct an integrable hydrodynamic chain (here integrability is understood as existence of infinitely many conservation laws or vanishing all components of the Haanties tensor) from an integrable 3-dimensional quasilinear second order equation (here integrability is understood as existence of so-called dispersionless Lax pair)

As a simplest example we consider dispersionless limit of Kadomtsev-Petviashvili equation and the Benni hydrodynamic chain related to it.

Our second example is weakly nonlinear equations, there are 5 of them up to cont act equivalence, according to the classification by Ferapontov and Moss.