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

Abstract

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

Keywords

• Lax type integrability
• vertex operator representation
• Lax integrability
• Lie-algebraic approach