TY - JOUR
T1 - A vertex operator representation of solutions to the gurevich-zybin hydrodynamical equation
AU - Prykarpatsky, Yarema A.
AU - Blackmore, Denis
AU - Golenia, Jolanta
AU - Prykarpatsky, Anatoliy K.
PY - 2013
Y1 - 2013
N2 - 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.
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 integrability
KW - Lax type integrability
KW - Lie-algebraic approach
KW - Vertex operator representation
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U2 - 10.7494/OpMath.2013.33.1.139
DO - 10.7494/OpMath.2013.33.1.139
M3 - Article
AN - SCOPUS:84872279296
VL - 33
SP - 139
EP - 149
JO - Opuscula Mathematica
JF - Opuscula Mathematica
SN - 1232-9274
IS - 1
ER -