Geodesic
Phase resonances of the~NLS rogue wave recurrence in the~quasisymmetric case
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 404-418

Voir la notice de l'article provenant de la source Math-Net.Ru

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, recurrence, almost symmetric configuration, phase resonance.
Mots-clés : anomalous wave 
@article{TMF_2018_196_3_a3,
     author = {P. G. Grinevich and P. M. Santini},
     title = {Phase resonances of {the~NLS} rogue wave recurrence in the~quasisymmetric case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {404--418},
     publisher = {mathdoc},
     volume = {196},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a3/}
}
TY  - JOUR
AU  - P. G. Grinevich
AU  - P. M. Santini
TI  - Phase resonances of the~NLS rogue wave recurrence in the~quasisymmetric case
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2018
SP  - 404
EP  - 418
VL  - 196
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a3/
LA  - ru
ID  - TMF_2018_196_3_a3
ER  - 
%0 Journal Article
%A P. G. Grinevich
%A P. M. Santini
%T Phase resonances of the~NLS rogue wave recurrence in the~quasisymmetric case
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2018
%P 404-418
%V 196
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a3/
%G ru
%F TMF_2018_196_3_a3
P. G. Grinevich; P. M. Santini. Phase resonances of the~NLS rogue wave recurrence in the~quasisymmetric case. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 3, pp. 404-418. http://geodesic.mathdoc.fr/item/TMF_2018_196_3_a3/