Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case


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Abstract

Based on experimental observations of the recurrence of anomalous waves in water and nonlinear optics, we investigate the theory of anomalous waves for initial data almost satisfying the symmetry conditions in the experiment. We also derive useful formulas, in particular, describing the phase resonance in the recurrence, which can be compared with both the currently available experimental data and the experimental data to be obtained in the near future.

About the authors

P. G. Grinevich

Landau Institute for Theoretical Physics; Lomonosov Moscow State University

Author for correspondence.
Email: pgg@landau.ac.ru
Russian Federation, Chernogolovka; Moscow

P. M. Santini

Dipartimento di Fisica; Istituto Nazionale di Fisica Nucleare

Email: pgg@landau.ac.ru
Italy, Rome; Sezione di Roma 1, Rome

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