Nonlinear Integrable Equations and Nonlinear Fourier Transform
High Energy Physics - Theory
2007-05-23 v1
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 Schr\"odinger and the Davey-Stewartson equations.
Cite
@article{arxiv.hep-th/9504042,
title = {Nonlinear Integrable Equations and Nonlinear Fourier Transform},
author = {A. S. Fokas and I. M. Gelfand and M. V. Zyskin},
journal= {arXiv preprint arXiv:hep-th/9504042},
year = {2007}
}