Linear and nonlinear generalized Fourier transforms

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10 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)3231-3249
Number of pages19
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume364
Issue number1849
DOIs
Publication statusPublished - Dec 2006

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