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Using every realization of the Virasoro-type symmetry algebra [o(f1) o(f2)] = σ(f1f2 - f2f1), we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries. By means of a concrete realization, many (3 + 1)-dimensional equations which possess Kac Moody-Virasoro-type infinite dimensional symmetry algebras are obtained.``