1105.4403 (Yarema A. Prykarpatsky et al.)

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

Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatoliy K. Prykarpatsky

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.

View original: http://arxiv.org/abs/1105.4403