Nonclassical potential symmetry generators of differential equations

We determine the nonclassical potential symmetries for a number of equations that arise in the literature. A large number of these are obtained for some equations which only admit a single potential (classical) symmetry (e. g., the wave equation and the motion of waves through some medium). However, we show that some of the exact solutions invariant under the nonclassical potential symmetries are equivalent to known solutions but these solutions are not obtainable through the classical point or potential symmetries. The Korteweg-deVries equation, it is shown, does not admit nonclassical potential symmetries - as in the classical case.