A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
classification
🌊 nlin.SI
math-phmath.MP
keywords
representationhydrodynamicaloperatorsolutionstypevertexalgebraicapproach
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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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