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

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

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)139-149
Number of pages11
JournalOpuscula Mathematica
Volume33
Issue number1
DOIs
StatePublished - 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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