Using every realization of the centerless Virasoro type symmetry algeb
ra, [sigma(f(1)(t)), sigma(f(2)(t))] = sigma(f(1)f(2)-f(2)f(1)), we ob
tain various higher dimensional models. By means of a concrete realiza
tion, many (3 + 1)-dimensionai equations which possess a Kac-Moody-Vir
asoro type infinite dimensional symmetry algebra are obtained.