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We compute the Lie symmetry algebra of the generalized Davey-Stewartson (GDS)equations and show that under certain conditions imposed on parameters in thesystem it is infinite-dimensional and isomorphic to that of the standardintegrable Davey-Stewartson equations which is known to have a very specificKac-Moody-Virasoro loop algebra structure. We discuss how the Virasoro part ofthis symmetry algebra can be used to construct new solutions, which are ofvital importance in demonstrating existence of blow-up profiles, from knownones using Lie subgroup of transformations generated by three-dimensionalsubalgebras, namely $\Sl(2,\mathbb{R})$. We further discuss integrabilityaspects of GDS equations.Comment: 9 page

The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations