Seminar talk, 25 November 2015
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.