title: Linear and nonlinear generalized Fourier transforms.
abstract: This article presents an overview of a transform method for solving linear and integrable nonlinear partial differential equations. This new transform method, proposed by Fokas, yields a generalization and unification of various fundamental mathematical techniques and, in particular, it yields an extension of the Fourier transform method.
authors.affiliation: Department of Mathematics, University of Reading, Reading RG6 6AX, UK. b.pelloni@reading.ac.uk
authors.forename: Beatrice
authors.initials: B
authors.lastname: Pelloni