Generation mechanism and prediction of an observed extreme rogue wave
Scientific Reports, 2022 Rogue waves are individual ocean surface waves with crest height $$\eta$$ η or trough-to-crest height H that are large compared to the significant wave height $$H_s$$ H s of the underlying sea state: $$H/H_s>2.2$$ H / H s > 2.2 or $$\eta /H_s>1.25$$ η ...
Johannes Gemmrich, Leah Cicon
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Deterministic Optical Rogue Waves [PDF]
Physical Review Letters, 2011 Experimental observations of rare giant pulses or rogue waves were done in the output intensity of an optically injected semiconductor laser. The long-tailed probability distribution function of the pulse amplitude displays clear non-Gaussian features that confirm the rogue wave character of the intensity pulsations.
Bonatto, Cristian +6 more
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Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrödinger equation. [PDF]
Physical Review E, 2021 The derivative nonlinear Schrödinger (DNLS) equation is the canonical model for the dynamics of nonlinear waves in plasma physics and optics. We study exact solutions describing rogue waves on the background of periodic standing waves in the DNLS ...
Jinbing Chen, D. Pelinovsky
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A statistical analysis of rogue waves in the southern North Sea [PDF]
Natural Hazards and Earth System Sciences, 2020 A new wave data set from the southern North Sea covering the period 2011–2016 and composed of wave buoy and radar measurements sampling the sea surface height at frequencies between 1.28 and 4 Hz was quality controlled and scanned for the presence
I. Teutsch +3 more
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Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation [PDF]
Nonlinear dynamics, 2021 In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution.
Huijuan Zhou, Yong Chen
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Nonlinear Dynamics of Rogue Waves in a Fifth-Order Nonlinear Schrödinger Equation
IEEE Access, 2020 In this paper, nonlinear dynamics of higher-order rogue waves are investigated for a fifth-order nonlinear Schrödinger equation, which can depict the Heisenberg ferromagnetic spin chain.
Ni Song, Hui Xue, Xiaoying Zhao
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Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation
Nonlinear dynamics, 2023 Rogue waves arising on the background of two families of periodic standing waves in the Kadomtsev–Petviashvili I (KPI) equation are investigated. By the nonlinearization of spectral problem and Darboux transformation approach, the rogue wave solutions of
Zhaqilao · Wurile, Xia Bao, ·. X. Bao
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Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves [PDF]
arXiv.org, 2021 The dimensionless third-order nonlinear Schrödinger equation (alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks (PINNs) deep learning method to explore the data-driven ...
Zijian Zhou, Zhenya Yan
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Breather Positons and Rogue Waves for the Nonlocal Fokas-Lenells Equation
Advances in Mathematical Physics, 2021 In this paper, we investigate breather positons and higher-order rogue waves for the nonlocal Fokas-Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two
Chun Wang, Rong Fan, Zhao Zhang, Biao Li
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Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
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