(3+l)-Dimensional Integrable Models with Infinitely Dimensional Virasoro Type Symmetry Algebra and the Painleve Property

Abstract

In this paper, some Virasoro integrable models are obtained by means of the realizations of the generalized centerless Virasoro-type symmetry algebra, [σj(̅ƒ1), σ(̅ƒ2)] = σ(̅ƒ2̅ƒ1 - ̅ƒ1ƒ2 ) - It is interesting that some of them may be not only Virasoro integrable but also Painleve integrable.