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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 3, Pages 404–418
DOI: https://doi.org/10.4213/tmf9544 (Mi tmf9544) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case

P. G. Grinevichab, P. M. Santinicd

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Dipartimento di Fisica, Università di Roma "La Sapienza", Roma, Italy
d Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Roma, Italy
Full-text PDF (720 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf9544
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.
Keywords: focusing nonlinear Schrödinger equation, anomalous wave, recurrence, almost symmetric configuration, phase resonance.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0033-2018-0009
Instituto Nazionale di Fisica Nucleare
Sapienza Università di Roma Ateneo 2017
The research of P. G. Grinevich was supported by FASO Russia (Project No. 0033-2018-0009) and the INFN Sezione di Roma and a Sapienza Ateneo 2017 Award Project.
Received: 12.02.2018
Revised: 23.02.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 3, Pages 1294–1306
DOI: https://doi.org/10.1134/S0040577918090040
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. G. Grinevich, P. M. Santini, “Phase resonances of the NLS rogue wave recurrence in the quasisymmetric case”, TMF, 196:3 (2018), 404–418; Theoret. and Math. Phys., 196:3 (2018), 1294–1306
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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