A vertex operator representation of solutions to the gurevich-zybin hydrodynamical equation

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

doi:10.7494/OpMath.2013.33.1.139

A vertex operator representation of solutions to the gurevich-zybin hydrodynamical equation

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

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	139-149
Number of pages	11
Journal	Opuscula Mathematica
Volume	33
Issue number	1
DOIs	https://doi.org/10.7494/OpMath.2013.33.1.139
State	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Lax integrability
Lax type integrability
Lie-algebraic approach
Vertex operator representation

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