Integrable equations and classical S-matrix

Details Integrable equations and classical S-matrix Integrable equations and classical S-matrix

2012-04-12

arxiv.org/abs/1204.2793v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, latex

Scientific paper

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.

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