On realizations of the Virasoro algebra

Published 10 Oct 2013 in nlin.SI, math-ph, and math.MP | (1310.2846v1)

Abstract: We obtain complete classification of in-equivalent realizations of the Virasoro algebra by Lie vector fields over the three-dimensional field of real numbers. As an application we construct new classes of nonlinear second-order partial differential equations possessing infinite-dimensional Lie symmetries.

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