(2+1)-dimensional models with Virasoro-type symmetry algebra

Abstract

According to a theory proposed in a previous paper by Lou and Hu(1994), starting from a realization of a Virasoro-type symmetry algebra, we can obtain various (2+1)-dimensional integrable models under the condition that the models possess the infinitely dimensional Virasoro-type symmetry algebra. An explicit realization of the generalized Virasoro-type symmetry algebra is used to obtain concrete invariant models. A set of equations which possesses the same infinite dimensional Kac-Moody-Virasoro type Lie point symmetry algebra as that of the Kadomtsev-Petviashvilli equation is given.