Statistics of vector Manakov rogue waves
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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.
Keywords:
modulation instability / Schrodinger-equations / mechanisms / eventsSource:
Physical Review E, 2018, 98, 1, 012209-Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- Capturing and quantitative analysis of multi-scale multi-channel diagnostic data. (EU-H2020-691051)
- Russian Ministry of Science and Education (14.Y26.31.0017)
Note:
- This is the peer-reviewed version of the following article: Mančić, A., F. Baronio, Lj. Hadžievski, S. Wabnitz, and A. Maluckov. 2018. “Statistics of Vector Manakov Rogue Waves.” Physical Review E 98 (1): 12209. https://doi.org/10.1103/PhysRevE.98.012209
- Published version: https://vinar.vin.bg.ac.rs/handle/123456789/7797
DOI: 10.1103/PhysRevE.98.012209
ISSN: 2470-0045
WoS: 000438497500005
Scopus: 2-s2.0-85050128465
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VinčaTY - JOUR AU - Mančić, Ana AU - Baronio, Fabio AU - Hadžievski, Ljupčo AU - Wabnitz, Stefan AU - Maluckov, Aleksandra PY - 2018 UR - https://vinar.vin.bg.ac.rs/handle/123456789/7798 UR - https://arxiv.org/pdf/1807.01941.pdf AB - 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. T2 - Physical Review E T1 - Statistics of vector Manakov rogue waves VL - 98 IS - 1 SP - 012209 DO - 10.1103/PhysRevE.98.012209 ER -
@article{ author = "Mančić, Ana and Baronio, Fabio and Hadžievski, Ljupčo and Wabnitz, Stefan and Maluckov, Aleksandra", year = "2018", 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 = "Physical Review E", title = "Statistics of vector Manakov rogue waves", volume = "98", number = "1", pages = "012209", doi = "10.1103/PhysRevE.98.012209" }
Mančić, A., Baronio, F., Hadžievski, L., Wabnitz, S.,& Maluckov, A.. (2018). Statistics of vector Manakov rogue waves. in Physical Review E, 98(1), 012209. https://doi.org/10.1103/PhysRevE.98.012209
Mančić A, Baronio F, Hadžievski L, Wabnitz S, Maluckov A. Statistics of vector Manakov rogue waves. in Physical Review E. 2018;98(1):012209. doi:10.1103/PhysRevE.98.012209 .
Mančić, Ana, Baronio, Fabio, Hadžievski, Ljupčo, Wabnitz, Stefan, Maluckov, Aleksandra, "Statistics of vector Manakov rogue waves" in Physical Review E, 98, no. 1 (2018):012209, https://doi.org/10.1103/PhysRevE.98.012209 . .