1204.2793 (V. E Zakharov et al.)

Integrable equations and classical S-matrix    [PDF]

V. E Zakharov, A. V Odesskii, M. Onorato, M. Cisternino

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.

View original: http://arxiv.org/abs/1204.2793