Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5532
Abstract: In this paper, a coupled nonlinear Schrödinger (CNLS) equation, which can describe evolution of localized waves in a two‐mode nonlinear fiber, is under investigation. By using the Darboux‐dressing transformation, the new localized wave solutions of… read more here.
Keywords: coupled nonlinear; waves soliton; nonlinear schr; rogue waves ... See more keywords
Novel high‐order breathers and rogue waves in the Boussinesq equation via determinants
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6148
Abstract: By virtue of the bilinear method and the Kadomtsev–Petviashvili (KP) hierarchy reduction technique, wider classes of high‐order breather and semirational and rogue wave solutions to the Boussinesq equation are derived. These solutions are presented explicitly… read more here.
Keywords: rogue; rogue wave; equation; rogue waves ... See more keywords
Lumps and rogue waves of generalized Nizhnik–Novikov–Veselov equation
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DOI: 10.1007/s11071-017-3804-7
Abstract: We investigate the generalized $$(2+1)$$(2+1) Nizhnik–Novikov–Veselov equation and construct its linear eigenvalue problem in the coordinate space from the results of singularity structure analysis thereby dispelling the notion of weak Lax pair. We then exploit… read more here.
Keywords: rogue waves; nizhnik novikov; generalized nizhnik; veselov equation ... See more keywords
Concurrent instabilities causing multiple rogue waves in infinite-dimensional dynamical systems
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05420-9
Abstract: Complex instabilities are the major reason for drastic changes and extreme events in dynamical systems. Several modes of instability growing simultaneously with nonlinear interaction between them may lead to unforeseeable outcomes leading to catastrophic consequences.… read more here.
Keywords: rogue waves; rogue; higher order; dynamical systems ... See more keywords
Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins
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DOI: 10.1007/s11071-020-05622-6
Abstract: The inhomogeneous fourth-order nonlinear Schrödinger equation is investigated, which models the transport of energy along the inhomogeneous hydrogen bonding spines in alpha-helical proteins. The deformed breather and rogue waves solutions for the equation are derived… read more here.
Keywords: rogue waves; order; inhomogeneous fourth; deformed breather ... See more keywords
The Rayleigh-Haring-Tayfun distribution of wave heights in deep water
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DOI: 10.1016/j.apor.2021.102739
Abstract: Regarding wave statistics, nearly every known exceeding probability distribution applied to rogue waves has shown disagreement with its peers. More often than not, models and experiments have shown a fair agreement with the Rayleigh distribution… read more here.
Keywords: rogue waves; tayfun distribution; rayleigh haring; distribution wave ... See more keywords
Ion-acoustic rogue waves in a multi-component plasma medium
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2022.01.014
Abstract: The nonlinear propagation of ion-acoustic (IA) waves (IAWs) in a four component plasma medium (FCPM) containing inertial warm positive ions, and inertialess iso-thermal cold electrons as well as non-extensive ($q$-distributed) hot electrons and positrons is… read more here.
Keywords: ion acoustic; component plasma; plasma medium; plasma ... See more keywords
Rogue waves for the optical fiber system with variable coefficients
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DOI: 10.1016/j.ijleo.2017.12.114
Abstract: Abstract The rogue waves are investigated in the generalized nonlinear optical fiber system, which is modelled as a generalized variable coefficient Schrodinger equation distributed with two group velocity dispersion functions and a nonlinearity function. The… read more here.
Keywords: rogue waves; rogue; fiber system; optical fiber ... See more keywords
Characteristics of rogue waves for a (2 + 1)-dimensional Heisenberg ferromagnetic spin chain system
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2018.10.133
Abstract: Abstract A (2 + 1)-dimensional equation is investigated, which describes a Heisenberg ferromagnetic spin chain system in ferrite material. Through using Hirota bilinear method and choosing proper polynomial functions in bilinear forms, the one-order rogue waves solution… read more here.
Keywords: rogue waves; system; ferromagnetic spin; heisenberg ferromagnetic ... See more keywords
Internal rogue waves in stratified flows and the dynamics of wave packets
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.05.015
Abstract: Abstract A theoretical study on the occurrence of internal rogue waves in density stratified flows is conducted. While internal rogue waves for long wave models have been studied in the literature, the focus here is… read more here.
Keywords: rogue waves; rogue; wave packets; dispersion nonlinear ... See more keywords
Numerical simulations of super rogue waves in a numerical wave tank
Sign Up to like & getrecommendations! Published in 2021 at "Ocean Engineering"
DOI: 10.1016/j.oceaneng.2021.108929
Abstract: Abstract Following the experiments of Chabchoub et al. (2012b), super rogue waves up to the fifth order are simulated in a numerical wave tank under the framework of Navier-Stokes equations for the first time. The… read more here.
Keywords: rogue waves; wave tank; numerical wave; numerical simulations ... See more keywords