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

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

2011-05-23

arxiv.org/abs/1105.4403v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages

Scientific paper

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.

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