Rogue waves in nonlinear Schrödinger models with variable coefficients: Application to Bose–Einstein condensates
Jingsong He,Efstathios G. Charalampidis,Efstathios G. Charalampidis,Efstathios G. Charalampidis,Panayotis G. Kevrekidis,Dimitri J. Frantzeskakis +5 more
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TLDR
In this paper, the authors explore the form of rogue wave solutions in a select set of case examples of nonlinear Schrodinger equations with variable coefficients, and present three different models that describe atomic Bose-Einstein condensates in different experimentally relevant settings.About:
This article is published in Physics Letters A.The article was published on 2014-01-24 and is currently open access. It has received 69 citations till now. The article focuses on the topics: Rogue wave & Nonlinear Schrödinger equation.read more
Citations
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Solving Ordinary Differential Equations
TL;DR: The variable-order Adams method (SIVA/DIVA) package as discussed by the authors is a collection of subroutines for solution of non-stiff ODEs.
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Roadmap on optical rogue waves and extreme events
Nail Akhmediev,Bertrand Kibler,Fabio Baronio,Milivoj R. Belic,Wei-Ping Zhong,Yiqi Zhang,Wonkeun Chang,Jose M. Soto-Crespo,Peter Vouzas,Philippe Grelu,Caroline Lecaplain,Kamal Hammani,Sergio Rica,Antonio Picozzi,Mustapha Tlidi,Krassimir Panajotov,Arnaud Mussot,Abdelkrim Bendahmane,Pascal Szriftgiser,Goëry Genty,John M. Dudley,Alexandre Kudlinski,Ayhan Demircan,Uwe Morgner,Shalva Amiraranashvili,Carsten Brée,G. Steinmeyer,Cristina Masoller,Neil G. R. Broderick,Antoine F. J. Runge,Miro Erkintalo,Stefania Residori,Umberto Bortolozzo,F. T. Arecchi,Stefan Wabnitz,C.G.L. Tiofack,Saliya Coulibaly,Majid Taki +37 more
TL;DR: The concept of optical rogue wave was introduced by Solli et al. as discussed by the authors, who defined it as "an optical pulse whose amplitude or intensity is much higher than that of the surrounding pulses".
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Multiple lump solutions of the (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation
Zhonglong Zhao,Lingchao He +1 more
TL;DR: The bilinear method is employed to construct the multiple lump solutions of the (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation in fluid dynamics, and the 1-lump solutions, 3-lumping solutions and 6-lumped solutions are explicitly presented.
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Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation
Jian-Guo Liu,Wen-Hui Zhu +1 more
TL;DR: Based on a direct variable transformation, the authors obtained multiple rogue wave solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation, including first-order, two-order and three-order solutions.
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Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics
TL;DR: The bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)-dimensional Benjamin-Ono equation and provides a uniform method for investigating high order rational solutions.
References
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Journal ArticleDOI
Bose-Einstein condensation
TL;DR: The Bose-Einstein condensation (BEC) phenomenon was first introduced by Bose as discussed by the authors, who derived the Planck law for black-body radiation by treating the photons as a gas of identical particles.
Book
Optical solitons : from fibers to photonic crystals
TL;DR: In this article, the authors introduce spatial and temporal solitons in photonic crystals, and introduce the concept of Incoherent Solitons, which is a subclass of the spatial and temporally soliton.
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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.