Statistics of vector Manakov rogue waves

Year: 2018

Authors: Mancic A., Baronio F., Hadzievski L., Wabnitz S., Maluckov A.

Autors Affiliation: Univ Nis, Fac Sci & Math, POB 244, Nish 18000, Serbia; Univ Brescia, INO CNR, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; Univ Belgrade, Vinca Inst Nucl Sci, P Grp, POB 522, Belgrade 11351, Serbia; Novosibirsk State Univ, Novosibirsk 630090, Russia.

Abstract: We present a statistical analysis based on the height and return-time probabilities of high-amplitude wave events in both focusing and defocusing Manakov systems. We find that analytical rational or semirational solutions, associated with extreme, rogue wave (RW) structures, are the leading high-amplitude events in this system. We define the thresholds for classifying an extreme wave event as a RW. Our results indicate that there is a strong relationship between the type of RW and the mechanism which is responsible for its creation. Initially, high-amplitude events originate from modulation instability. Upon subsequent evolution, the interaction among these events prevails as the mechanism for RW creation. We suggest a strategy for confirming the basic properties of different extreme events. This involves the definition of proper statistical measures at each stage of the RW dynamics. Our results point to the need for redefining criteria for identifying RW events.

Journal/Review: PHYSICAL REVIEW E

Volume: 98 (1)      Pages from: 12209-1  to: 12209-10

More Information: A. Mancic, L.H., and A. Maluckov acknowledge support from Ministry of Education, Science and Technological Development of Republic of Serbia (Grant No. III 45010). This project was partially supported from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska Curie Grant Agreement No. 691051. The work of S. W. was supported by the Russian Ministry of Science and Education (Grant No. 14.Y26.31.0017).
KeyWords: Extreme events; Extreme wave events; High amplitude events; High amplitude waves; Manakov systems; Modulation instabilities; Rogue waves; Statistical measures
DOI: 10.1103/PhysRevE.98.012209

Citations: 7
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