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Some connections between classical and nonclassical symmetries of a partialdifferential equation (PDE) are given in terms of determining equations of thetwo symmetries. These connections provide additional information fordetermining nonclassical symmetry of a PDE and make it easier to solve thesystem of nonlinear determining equations. As example, new nonclassicalsymmetries are exhibited for a class of generalized Burgers equation andKdV-type equations are given.

Some connections between classical and nonclassical symmetries of a partial differential equation and their applications