a Departamento de Matemáticas, Universidad de Cádiz, PO.BOX 40, 11510 Puerto Real, Cádiz, Spain
b Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy
Abstract:
We consider a special class of nonlinear dispersive equations and search for classical and potential symmetries. We classify them in both cases. Reduced equations and wide classes of solutions of physical interest are obtained. Some equations of this special class are linearized via a symmetry approach, and an equivalence algebra is obtained.