Observing Zabusky and Kruskal scenario: breaking of harmonic waves
We give a fresh look at the famous problem investigated numerically by Zabusky and Kruskal in 1965 , i.e. the breaking of a harmonic wave in the weakly dispersing case and the associated Fermi-Pasta-Ulam recurrence. We report experimental results obtained for surface gravity waves in a shallow water tank . We show that the results are accurately interpreted in terms of analytical formulas developed in the context of a WKB approach for the scattering problem associated with the the Korteweg-De Vries equation . A parallel with experiments in optics described in terms of nonlinear Schrodinger equation is also proposed .
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 S. Trillo, G. Deng, G. Biondini, M. Klein, G. F. Clauss, A. Chabchoub, M. Onorato, Hydrodynamical realisation and theoretical description of the Zabusky-Kruskal numerical experiment , submitted to Phys. Rev. Lett.
 G.. Deng, G. Biondini, and S. Trillo, Physica D, in press, doi:10.1016/j.physd.2016.03.003
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