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.

Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case / Grinevich, P. G.; Santini, Paolo Maria. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - 196:3(2018), pp. 1294-1306. [10.1134/S0040577918090040]

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

Santini, Paolo Maria
2018

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.
2018
focusing nonlinear Schrödinger equation; anomalous wave;recurrence; almost symmetric configuration; phase resonance
01 Pubblicazione su rivista::01a Articolo in rivista
Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case / Grinevich, P. G.; Santini, Paolo Maria. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - 196:3(2018), pp. 1294-1306. [10.1134/S0040577918090040]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1215146
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