paper

A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation

arXiv:1105.4403

Abstract

An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator representation for solutions to a Riemann type Gurevicz-Zybin hydrodynamical hierarchy is devised. A functional representation generating an infinite hirerachy of dispersive Lax type integrable flows is obtaned.

6 pages