Seminar talk, 22 February 2012

Speaker: Maxim Pavlov

Title: Reduction of kinetic equations to finite-dimensional systems

Abstract:
We consider coverings over multidimensional quasi-linear systems of partial differential equations of first order as kinetic equations, for which an approach allowing to derive $N$-component reductions is known.

The distinction from the approach developed by John Gibbons, Sergey Tsarev and Eugene Ferapontov and his coauthors in that only one $N$-component reduction is presented explicitly instead of a whole family parametrized by $N$ function of one argument. That is, one of solutions of the Gibbons-Tsarev system is automatically presented parametrised by $N-1$ constants.