High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra**The project supported by the Outstanding Youth Foundation, National Natural Science Foundation of China, “Scaling Plan” of China, and the Natural Science Foundation of Zhejiang Province of China

Abstract

Using every realization of the Virasoro-type symmetry algebra , we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries. By means of a concrete realization, many -dimensional equations which possess Kac–Moody–Virasoro-type infinite dimensional symmetry algebras are obtained.