English

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

Exactly Solvable and Integrable Systems 2012-04-17 v3 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1105.4403,
  title  = {A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation},
  author = {Yarema A. Prykarpatsky and Denis Blackmore and Jolanta Golenia and Anatoliy K. Prykarpatsky},
  journal= {arXiv preprint arXiv:1105.4403},
  year   = {2012}
}

Comments

6 pages