Results 71 to 80 of about 32,830 (172)

Nonlinear Talbot effect of rogue waves [PDF]

Physical Review E, 2014
Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the nonlinear Schr dinger equation (NLSE). Talbot effect (TE) is an image recurrence phenomenon in the diffraction of light waves. We report the nonlinear TE of rogue waves in a cubic medium.
Zhang, Yiqi, Belić, Milivoj R., Zheng, Huaibin, Chen, Haixia, Li, Changbiao, Song, Jianping, Zhang, Yanpeng   +6 more
openaire   +3 more sources

Rogue Wave Solutions and Generalized Darboux Transformation for an Inhomogeneous Fifth-Order Nonlinear Schrödinger Equation

Journal of Function Spaces, 2017
The rogue wave solutions are discussed for an inhomogeneous fifth-order nonlinear Schrödinger equation, which describes the dynamics of a site-dependent Heisenberg ferromagnetic spin chain. Using the Darboux matrix, the generalized Darboux transformation
N. Song, W. Zhang, P. Wang, Y. K. Xue
doaj   +1 more source

Omnipresent coexistence of rogue waves in a nonlinear two-wave interference system and its explanation by modulation instability

Physical Review Research, 2021
We investigate the coexisting rogue wave dynamics associated with two fundamental-frequency optical waves interacting in a quadratic nonlinear medium.
Changchang Pan, Lili Bu, Shihua Chen, Dumitru Mihalache, Philippe Grelu, Fabio Baronio   +5 more
doaj   +1 more source

Multiple rogue waves solutions for a (3 + 1)-dimensional nonlinear wave in liquid with gas bubbles via Hirota bilinear equation method

Examples and Counterexamples
In this study, we employ a symbolic computation approach to construct various rogue wave solutions of the (3+1)-dimensional nonlinear wave equation modeling wave propagation in a liquid medium containing gas bubbles. Through the application of the Hirota
Mohamed M. Awad, A.A. Elsadany, Mohammed K. Elboree   +2 more
doaj   +1 more source

Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System

Complexity, 2019
Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are ...
Yue-jun Deng, Rui-yu Jia, Ji Lin
doaj   +1 more source

Rogue waves in nonlocal media

Physical Review E, 2017
The generation of rogue waves is investigated via a nonlocal nonlinear Schrodinger (NLS) equation. In this system, modulation instability is suppressed and is usually expected that rogue wave formation would also be limited. On the contrary, a parameter regime is identified where the instability is suppressed but nevertheless the number and amplitude ...
Horikis, Theodoros P., Ablowitz, Mark J.
openaire   +4 more sources

Mooring Evaluation of a Floating Offshore Wind Turbine Platform Under Rogue Wave Conditions Using a Coupled CFD-FEM Model

Journal of Marine Science and Engineering
As the development of offshore wind energy transforms from coastal to deep-sea regions, designing a cost effective mooring system while ensuring the safety of floating offshore wind turbine (FOWT) remains a critical challenge, especially considering ...
Bo Li, Hao Qin, Haoran Zhang, Qibin Long, Donghao Ma, Chen Xu   +5 more
doaj   +1 more source

COMPARISON STUDY OF EXPERIMENTS AND PREDICTIONS OF WAVE KINEMATICS FOR ROGUE WAVE

Brodogradnja, 2018
To investigate the wave kinematics under the rogue wave crest, a series of experiments were performed in 2-D wave tank with the application of PIV technique to measure the velocities under the free surface.
Hae Jin Choi, Kwang Hyo Jung, Seung Jae Lee, Hyo Jae Jo, Gang Nam Lee   +4 more
doaj   +1 more source

Capturing rogue waves by multi-point statistics

New Journal of Physics, 2016
As an example of a complex system with extreme events, we investigate ocean wave states exhibiting rogue waves. We present a statistical method of data analysis based on multi-point statistics which for the first time allows the grasping of extreme rogue
A Hadjihosseini, Matthias Wächter, N P Hoffmann, J Peinke   +3 more
doaj   +1 more source

Machine-guided discovery of a real-world rogue wave model. [PDF]

Proc Natl Acad Sci U S A, 2023
Häfner D, Gemmrich J, Jochum M.
europepmc   +1 more source