@Article{Prykarpatsky2013,
author = "Prykarpatsky, Yarema A. and Blackmore, Denis and Golenia, Jolanta and Prykarpatsky, Anatoliy K.",
title = "A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation",
journal = "Opuscula Math.",
year = "2013",
volume = "33",
number = "1",
pages = "139--149",
doi = "http://dx.doi.org/10.7494/OpMath.2013.33.1.139",
url = "http://dx.doi.org/10.7494/OpMath.2013.33.1.139",
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",
issn = "1232-9274"
}