TY  - JOUR
ID  - Prykarpatsky2013
LB  - Prykarpatsky2013
AU  - Prykarpatsky, Yarema A.
AU  - Blackmore, Denis
AU  - Golenia, Jolanta
AU  - Prykarpatsky, Anatoliy K.
TI  - A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
ST  - A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 1
SP  - 139
EP  - 149
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.1.139
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.1.139
AB  - 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.
KW  - Lax type integrability
KW  - vertex operator representation
KW  - Lax integrability
KW  - Lie-algebraic approach
SN  - 1232-9274
ER  -