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(2+1) dimensional diffusion equation is considered within the framework ofequivalence transformations. Generators for the group are obtained andadmissible transformations between linear and nonlinear equations are examined.It is shown that transformations between linear and nonlinear equations arepossible provided that the generators of independent variables depend on thedependent variable. Exact solutions for some nonlinear equations are obtained.Differential invariants related to the transformation groups are investigatedand the results are compared with the direct integration method.

Equivalence Groups and Differential Invariants for (2+1) dimensional Nonlinear Diffusion Equation