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Related papers: Modulation instability, Akhmediev Breathers and co…

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The stability of the phase difference between two white-light continua, generated from the same 180-fs pulses at 1035\,nm, is assessed by a modified Bellini-Hansch interferometer. Mutual spectral stability is studied as a function of…

Optics · Physics 2022-06-08 Benjamin Maingot , Gilles Cheriaux , Nicolas Forget , Aurelie Jullien

We investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave, in a dispersive quadratic medium. We show the existence of quadratic Akhmediev breathers and Peregrine solitary waves,…

Pattern Formation and Solitons · Physics 2017-05-24 Fabio Baronio

We study, theoretically and numerically, the onset and development of modulational instability in an incoherently pumped spatially homogeneous polariton condensate. Within the framework of mean-field theory, we identify regimes of…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 T. C. H. Liew , O. A. Egorov , M. Matuszewski , O. Kyriienko , X. Ma , E. A. Ostrovskaya

Recent advances in nanotechnology and atomic physics may allow for a demonstration of the dynamical Casimir effect. An array of film bulk acoustic resonators (FBARs) coherently driven at twice the resonant frequency of a high-quality…

Quantum Physics · Physics 2009-11-13 J. H. Brownell , W. J. Kim , R. Onofrio

We examine the steady state and dynamic behaviour of an optical resonator comprised of two interlinked fibre loops sharing a common pump. A coupled Ikeda map models with great accuracy the field evolution within and exchange between both…

Optics · Physics 2020-11-11 Calum Maitland , Matteo Conforti , Arnaud Mussot , Fabio Biancalana

In this work, we study a space-time modulated electro-mechanical system, consisting of an array of coupled cantilevers with their on-site potential provided by electromagnets driven by AC currents. Model equations are derived, and the…

Pattern Formation and Solitons · Physics 2026-04-01 Masayuki Kimura , Juan F. R. Archilla , Yusuke Doi , Víctor J. Sánchez-Morcillo

We present both theoretical description and experimental observation of the modulation instability process and related rogue breathers in the case of stationary periodic background waves, namely cnoidal and dnoidal envelopes. Despite being…

Pattern Formation and Solitons · Physics 2020-10-07 Gang Xu , Amin Chabchoub , Dmitry E. Pelinovsky , Bertrand Kibler

Ultrashort electron pulses with a high average current provide a powerful means of enhancing time-resolved imaging and photon generation. In this study, we report the attosecond shaping of sub-relativistic electron beams using membranes in…

In this paper we study the numerical instabilities of the NLS Akhmediev breather, the simplest space periodic, one-mode perturbation of the unstable background, limiting our considerations to the simplest case of one unstable mode. In…

Pattern Formation and Solitons · Physics 2017-08-15 P. G. Grinevich , P. M. Santini

We calculate the absorption spectra of a semiconductor microcavity into which a non-equilibrium exciton population has been pumped. We predict strong peaks in the spectrum corresponding to collective modes analogous to the Cooper modes in…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 R. T. Brierley , P. R. Eastham

In this paper, we report the emergence of breather and super rogue waves in a modified Noguchi electrical transmission line and demonstrate that both phenomena arise from baseband modulational instability. We then systematically examine the…

Pattern Formation and Solitons · Physics 2025-04-29 N. Sinthuja , M. Senthilvelan , K. Murali

Modulation instability in a nonlinear optical waveguide array with alternating positive and negative refractive indices is investigated analytically. Particular solutions of a system of coupled nonlinear equations are found. These solutions…

Pattern Formation and Solitons · Physics 2014-09-30 A. A. Dovgiy , A. I. Maimistov

The self-modulation (SM) instability transforms a long charged particle bunch traveling in plasma into a train of microbunches that resonantly drives large-amplitude wakefields. We present the first determination of the saturation length of…

A modified method is presented to generate artificial magnetic turbulence that is used for test-particle simulations. Such turbulent fields are obtained from the superposition of a set of wave modes with random polarizations and random…

High Energy Astrophysical Phenomena · Physics 2013-06-17 R. C. Tautz , A. Dosch

It is well known that Akhmediev breathers of the nonlinear cubic Schrodinger equation can be superposed nonlinearly via the Darboux transformation to yield breathers of higher order. Surprisingly, we find that the peak height of each…

Pattern Formation and Solitons · Physics 2016-10-12 Siu A. Chin , Omar A. Ashour , Stanko N. Nikolic , Milivoj R. Belic

Electron accelerators and synchrotrons can be operated to provide short emission pulses due to longitudinally compressed or sub-structured electron bunches. Above a threshold current, the high charge density leads to the micro-bunching…

Recent numerical work on the fate of plasma instabilities in weakly-coupled non-Abelian gauge theory has shown the development of a cascade of energy from long to short wavelengths. This cascade has a steady-state spectrum, analogous to the…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Guy D. Moore

Electrospun polymer jets are imaged for the first time at an ultra-high rate of 10,000 frames per second, investigating the process dynamics, and the instability propagation velocity and displacement in space. The polymer concentration,…

The evolution of thermomagnetic perturbations in the resistive state of superconductors is considered. A qualitative pattern of the formation and further development of nonlinear stationary structures that describe the final stage of…

Superconductivity · Physics 2007-05-23 Nizam A. Taylanov

Spontaneous pattern formation in a variety of spatially extended nonlinear system always occurs through a modulation instability: homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the…

Pattern Formation and Solitons · Physics 2015-08-25 S. Kumar , R. Herrero , M. Botey , K. Staliunas