Integrable equations and classical S-matrix
Exactly Solvable and Integrable Systems
2012-04-30 v2 Mathematical Physics
math.MP
Abstract
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three known equations (KdV, Benjamin-Ono and equation of intermediate waves) and for two new equations which are natural generalizations of mentioned above.
Keywords
Cite
@article{arxiv.1204.2793,
title = {Integrable equations and classical S-matrix},
author = {V. E Zakharov and A. V Odesskii and M. Onorato and M. Cisternino},
journal= {arXiv preprint arXiv:1204.2793},
year = {2012}
}
Comments
10 pages, latex, references added