Integrable systems with quadratic nonlinearity in Fourier space
Exactly Solvable and Integrable Systems
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
The Lax pair representation in Fourier space is used to obtain a list of integrable scalar evolutionary equations with quadratic nonlinearity. The famous systems of this type such as KdV, intermediate long-wave equation (ILW), Camassa-Holm and A. Degasperis systems are represented in this list. Some new systems are obtained as well. The generalizations on two-dimensional and discrete systems are discussed.
Cite
@article{arxiv.nlin/0207022,
title = {Integrable systems with quadratic nonlinearity in Fourier space},
author = {V. G. Marikhin},
journal= {arXiv preprint arXiv:nlin/0207022},
year = {2009}
}
Comments
6 pages