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
Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3991-2
Abstract: We present the first four exact rational solutions of the set of rational solutions of the modified Korteweg–de Vries equation. These solutions can be considered as rogue waves of the corresponding equation. Comparison with rogue… read more here.
Keywords: rogue; wave solutions; type solutions; wave type ... See more keywords
Generalized Darboux transformation and parameter-dependent rogue wave solutions to a nonlinear Schrödinger system
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4198-x
Abstract: In this work, we are concerned with a generalized nonlinear Schrödinger equation, which can describe the propagation of nonlinear wave phenomena in plasma, optics and in deep water field. We construct, up to the second-order… read more here.
Keywords: rogue; generalized darboux; nonlinear schr; wave solutions ... See more keywords
Concurrent instabilities causing multiple rogue waves in infinite-dimensional dynamical systems
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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
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
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
Characterization of optical rogue wave based on solitons' eigenvalues of the integrable higher-order nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Optics Communications"
DOI: 10.1016/j.optcom.2016.08.048
Abstract: Abstract The dynamics of the optical rogue wave phenomenon in the framework of integrable higher-order nonlinear Schrodinger equation (HNLSE) including the third order dispersion term is presented in this paper. When rogue waves generate through… read more here.
Keywords: rogue; order; optical rogue; integrable higher ... See more keywords
Rogue waves in (2+1)-dimensional three-wave resonant interactions
Sign Up to like & getrecommendations! Published in 2022 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2022.133160
Abstract: Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied. General rogue waves arising from a constant background, from a lump-soliton background and from a dark-soliton background have been derived, and their dynamics illustrated. For rogue… read more here.
Keywords: rogue; background; dimensional three; waves dimensional ... See more keywords
Generation mechanism and prediction of an observed extreme rogue wave
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DOI: 10.1038/s41598-022-05671-4
Abstract: Rogue waves are individual ocean surface waves with crest height \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\eta$$\end{document}η or trough-to-crest height H that are large compared to the significant wave height \documentclass[12pt]{minimal} \usepackage{amsmath}… read more here.
Keywords: usepackage; rogue; document; documentclass 12pt ... See more keywords
Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics.
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DOI: 10.1063/1.4974852
Abstract: We demonstrate a way to generate two-dimensional rogue waves in two types of broad area nonlinear optical systems subject to time-delayed feedback: in the generic Lugiato-Lefever model and in the model of a broad-area surface-emitting… read more here.
Keywords: rogue waves; delayed feedback; rogue; two dimensional ... See more keywords
Numerical study of the generation and evolution of breather-type rogue waves
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DOI: 10.1080/17445302.2015.1112177
Abstract: The behaviour of the Peregrine breather-type rogue waves is numerically studied based on the fourth-order nonlinear Schrödinger equation. The wavelet analysis method is adopted in order to analyse the time-frequency energy distribution during the generation… read more here.
Keywords: rogue waves; rogue; type rogue; generation evolution ... See more keywords