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Related papers: Split-step solitons

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We propose a more realistic version of the recently introduced split-step model (SSM), which consists of periodically alternating dispersive and nonlinear segments, by adding uniformly distributed loss and lumped gain to it. In the case…

Pattern Formation and Solitons · Physics 2015-06-26 Rodislav Driben , Boris Malomed

The existence regimes and dynamics of soliton molecules in dispersion-managed (DM) optical fibers have been studied. Initially we develop a variational approximation (VA) for description of periodic dynamics of a soliton molecule within…

Pattern Formation and Solitons · Physics 2014-06-10 S. M. Alamoudi , U. Al Khawaja , B. B. Baizakov

A model of a long optical communication line consisting of alternating segments with anomalous and normal dispersion, whose lengths are picked up randomly from a certain interval, is considered. At the first stage of the analysis, we…

Pattern Formation and Solitons · Physics 2007-05-23 Anders Berntson , Boris A. Malomed

We introduce a models for two coupled waves propagating in a hollow-core fiber: a linear dispersionless core mode, and a dispersive nonlinear quasi-surface one. The linear coupling between them may open a bandgap, through the mechanism of…

Pattern Formation and Solitons · Physics 2009-11-10 I. M. Merhasin , Boris A. Malomed

We study spatial and temporal solitons in the $\mathcal{PT}$ symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency solitons are found to be completely determined by a single…

Pattern Formation and Solitons · Physics 2015-06-05 N. V. Alexeeva , I. V. Barashenkov , Andrey A. Sukhorukov , Yuri S. Kivshar

Extensive numerical simulations were performed to investigate all stages of modulation instability development from the initial pulse of pico-second duration in photonic crystal fiber: quasi-solitons and dispersive waves formation, their…

Pattern Formation and Solitons · Physics 2015-05-18 Dmitry Agafontsev

Spatiotemporal solitons (STSs) are localized solitary waves in both space and time that involve complex linear and nonlinear processes. Optical STSs have been observed in various media, but they are difficult to be realized in multimode…

Pattern Formation and Solitons · Physics 2016-07-20 Yao Wang , Shuo Yan , Jianqiu Xu , Yulong Tang

The propagation of optical pulses in two types of fibers with randomly varying dispersion is investigated. The first type refers to a uniform fiber dispersion superimposed by random modulations with a zero mean. The second type is the…

Pattern Formation and Solitons · Physics 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of…

Pattern Formation and Solitons · Physics 2009-10-31 Dmitry Pelinovsky

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

We observe the dynamics of pulse trapping in a microstructured fiber. Few-cycle pulses create a system of two pulses: a Raman shifting soliton traps a pulse in the normal dispersion regime. When the soliton approaches a wavelength of zero…

Optics · Physics 2015-05-13 S. Hill , C. E. Kuklewicz , U. Leonhardt , F. Koenig

We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width…

Atomic Physics · Physics 2021-10-14 Sudipta Das , Kajal Krishna Dey , Golam Ali Sekh

A model is introduced to describe guided propagation of a linear or nonlinear pulse which encounters a localized nonlinear defect, that may be either static or breather-like one (the model with the static defect applies to an optical pulse…

Pattern Formation and Solitons · Physics 2009-11-07 Panayotis G. Kevrekidis , Boris A. Malomed , H. E. Nistazakis , Dimitri J. Frantzeskakis , A. Saxena , A. R. Bishop

Semiconductor microcavities operating in the polaritonic regime are highly non-linear, high speed systems due to the unique half-light, half-matter nature of polaritons. Here, we report for the first time the observation of propagating…

We study the motion of gap solitons in two models of apodized nonlinear fiber Bragg gratings (BGs), with the local reflectivity (LR) varying along the fiber. A single step of LR, and a periodic array of alternating steps with opposite signs…

Pattern Formation and Solitons · Physics 2017-04-12 William C. K. Mak , Boris A. Malomed , Pak L. Chu

A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Evgeny V. Doktorov

The emergence of confined structures and pattern formation are exceptional manifestations of concurring nonlinear interactions found in a variety of physical, chemical and biological systems[1]. Optical solitons are a hallmark of extreme…

Optics · Physics 2020-01-29 Felix Kurtz , Claus Ropers , Georg Herink

We consider a matter wave bright soliton interferometer composed of a harmonic potential trap with a Rosen--Morse barrier at its center on which an incident soliton collides and splits into two solitons. These two solitons recombine after a…

Quantum Gases · Physics 2013-12-03 Juan Polo , Verònica Ahufinger

We examine the evolution of a time-varying perturbation signal pumped into a mono-mode fiber in the anomalous dispersion regime. We analytically establish that the perturbation evolves into a conservative pattern of periodic pulses which…

Pattern Formation and Solitons · Physics 2021-09-17 Défi Jr. Jubgang Fandio , Alain M. Dikandé , A. Sunda-Meya

Soliton molecules are the manifestation of attractive and repulsive interaction between optical pulses mediated by a nonlinear medium. However, the formation and breakup of soliton molecules are difficult to observe due to the transient…

Optics · Physics 2018-01-12 Shuqian Sun , Zhixing Lin , Wei Li , Ninghua Zhu , Ming Li
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