Linear and nonlinear generalized Fourier transforms

Beatrice Pelloni

doi:10.1098/rsta.2006.1893

Linear and nonlinear generalized Fourier transforms

Beatrice Pelloni

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

12 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 language	English
Pages (from-to)	3231-3249
Number of pages	19
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	364
Issue number	1849
DOIs	https://doi.org/10.1098/rsta.2006.1893
Publication status	Published - Dec 2006

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Linear and nonlinear generalized Fourier transforms

Abstract

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