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Nonlinear Integrable Equations and Nonlinear Fourier Transform

A. S. Fokas, I. M. Gelfand, M. V. Zyskin

hep-tharXiv:hep-th/9504042

Abstract

In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schrödinger and the Davey-Stewartson equations.

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