Journal ArticleDOI
Controllable rogue waves in the nonautonomous nonlinear system with a linear potential
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TLDR
In this paper, the authors derived self-similar rogue wave solutions (rational solutions) for the non-autonomous nonlinear system with a linear potential and investigated the controllable behaviors of one-rogue wave, two-rogUE wave and rogue wave triplets in a soliton control system.Abstract:
Based on the similarity transformation connected the nonautonomous nonlinear Schrodinger equation with the autonomous nonlinear Schrodinger equation, we firstly derive self-similar rogue wave solutions (rational solutions) for the nonautonomous nonlinear system with a linear potential. Then, we investigate the controllable behaviors of one-rogue wave, two-rogue wave and rogue wave triplets in a soliton control system. Our results demonstrate that the propagation behaviors of rogue waves, including postpone, sustainment, recurrence and annihilation, can be manipulated by choosing the relation between the maximum value of the effective propagation distance Z
m
and the parameter Z
0. Moreover, the excitation time of controllable rogue waves is decided by the parameter T
0.read more
Citations
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Exactly integrable nonisospectral models for femtosecond colored solitons and their reversible transformations
Vladimir N Serkin,T.L. Belyaeva +1 more
TL;DR: In this article, the authors presented exactly integrable nonisospectral nonlinear evolution models with varying in time linear potentials, such as the forced complex modified Korteweg-de Vries (cmKdV), the forced Hirota, and the forced Sasa-Satsuma equations.
Journal ArticleDOI
Influence of generalized external potentials on nonlinear tunneling of nonautonomous solitons: Soliton management
A. Mahalingam,M.S. Mani Rajan +1 more
TL;DR: In this paper, a generalized non-autonomous nonlinear Schrodinger equation with the help of symbolic computation is solved and two soliton solutions are obtained by virtue of the Darboux transformation.
Journal ArticleDOI
Experimental dynamics of Akhmediev breathers in a dispersion varying optical fiber
Abdelkrim Bendahmane,Arnaud Mussot,Pascal Szriftgiser,O. Zerkak,Goëry Genty,John M. Dudley,Alexandre Kudlinski +6 more
TL;DR: This work investigates experimentally the dynamics of Akhmediev breathers in an optical fiber with a longitudinally tailored dispersion that allows to nearly freeze the breather evolution near their point of maximal compression.
Journal ArticleDOI
Extreme nonlinear waves in external gravitational-like potentials: Possible applications for the optical soliton supercontinuum generation and the ocean coast line protection
A. Mena-Contla,Vladimir N Serkin,T.L. Belyaeva,R. Peña-Moreno,M. Aguero,C. Hernandez-Tenorio,L. Morales-Lara +6 more
TL;DR: In this paper, the results of computer experiments of soliton interactions with different external gravitational-like potentials including that with varying levels of inclinations were presented, and the effective mechanism of the supercontinuum generation both in nonlinear optics and in hydrodynamics based on the higher order N-soliton wave packets decay induced by external potentials of the hyperbolic tangent profiles with varying inclinations similar to the real ocean coast line profiles.
Journal ArticleDOI
Nontrivial Galilean-like invariance of the generalized higher-order nonlinear Schrödinger equation model with gravitation-like potential and the soliton analogies of the cosmic dark energy and antigravitation effects
Vladimir N Serkin,T.L. Belyaeva +1 more
TL;DR: In this paper, a generalized and exactly integrable higher-order nonlinear Schrodinger equation model for the wave function of a soliton in the attractive gravitational-like potential was proposed.
References
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Journal ArticleDOI
Optical rogue waves
TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
Journal ArticleDOI
Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
Journal ArticleDOI
Waves that appear from nowhere and disappear without a trace
TL;DR: In this article, a hierarchy of rational solutions of the nonlinear Schrodinger equation (NLSE) with increasing order and with progressively increasing amplitude is presented. And the authors apply the WANDT title to two objects: rogue waves in the ocean and rational solution of the NLSE.
Journal ArticleDOI
Rogue wave observation in a water wave tank.
TL;DR: This work presents the first experimental results with observations of the Peregrine soliton in a water wave tank, and proposes a new approach to modeling deep water waves using the nonlinear Schrödinger equation.
Book
Optical solitons in fibers
TL;DR: In this article, the authors presented the first experiment of all-optical solitons in a real optical fiber and showed that they can be used for information transfer in optical fibers.