Evgeny Ferapontov
(Loughborough University, UK)
On integrability of multi-dimensional quasilinear systems
The method of hydrodynamic reductions, proposed original for the dKP equation, provides an effective approach to the integrability of multi-dimensional dispersionless systems. In this talk I will give an overview of the existing classification results obtained by the application of this method to particularly interesting classes of multi-dimensional PDEs.