Integrable equations and classical Smatrix
Abstract
We study amplitudes of fivewave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that fivewave amplitude is canceled for all three known equations (KdV, BenjaminOno and equation of intermediate waves) and for two new equations which are natural generalizations of mentioned above.
 Publication:

arXiv eprints
 Pub Date:
 April 2012
 DOI:
 10.48550/arXiv.1204.2793
 arXiv:
 arXiv:1204.2793
 Bibcode:
 2012arXiv1204.2793Z
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics
 EPrint:
 10 pages, latex, references added