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In applications of nonlinear and complex dynamical systems, a common situation is that the system can be measured but its structure and the detailed rules of dynamical evolution are unknown. The inverse problem is to determine the system…

Dynamical Systems · Mathematics 2021-09-15 Ying-Cheng Lai

We investigate exact travelling wave solutions of higher order nonlinear Schrodinger equation in the absence of third order dispersion, which exhibit non-trivial self phase modulation. It is shown that, the corresponding dynamical equation,…

Pattern Formation and Solitons · Physics 2011-06-01 Anshul Saini , Vivek M. Vyas , S. N. Pandey , T. Solomon Raju , Prasanta K. Panigrahi

Breathing solitons consist of a fast beating wave within a compact envelope of stable shape and velocity. They can propagate and carry information and energy in a variety of contexts such as plasmas, optical fibers and cold atoms, but…

The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagating inside such structures can be…

We investigate methods for experimental performance enhancement of auto-encoders based on a recurrent neural network (RNN) for communication over dispersive nonlinear channels. In particular, our focus is on the recently proposed sliding…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Boris Karanov , Mathieu Chagnon , Vahid Aref , Filipe Ferreira , Domanic Lavery , Polina Bayvel , Laurent Schmalen

Optical neural networks promise ultrafast, low-energy information processing by performing computation directly with photons. Current implementations, however, are largely restricted to steady-state operation and rely on high-latency…

Quantum Physics · Physics 2026-05-19 Jiande Cao , Yexiong Zeng , Franco Nori , Ze-Liang Xiang

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be continuously tweaked between a pure…

Optics · Physics 2011-06-15 Christian Jirauschek , F. Ömer Ilday

Machine learning is becoming a widely used technique with a impressive growth due to the diversity of problem of societal interest where it can offer practical solutions. This increase of applications and required resources start to become…

Atomic Physics · Physics 2024-09-09 Pierre Azam , Robin Kaiser

A kinetic equation describing the nonlinear evolution of intense electromagnetic pulses in electron-positron (e-p) plasmas is presented. The modulational instability is analyzed for a relativistically intense partially coherent pulse, and…

Plasma Physics · Physics 2007-05-23 M. Marklund , B. Eliasson , P. K. Shukla

Driven by the remarkable breakthroughs during the past decade, photonics neural networks have experienced a revival. Here, we provide a general overview of progress over the past decade, and sketch a roadmap of important future…

Emerging Technologies · Computer Science 2021-07-20 Daniel Brunner , Laurent Larger , Miguel C. Soriano

We use a Convolutional Recurrent Neural Network approach to learn morphological evolution driven by surface diffusion. To this aim we first produce a training set using phase field simulations. Intentionally, we insert in such a set only…

Computational Physics · Physics 2024-05-07 Daniele Lanzoni , Marco Albani , Roberto Bergamaschini , Francesco Montalenti

Spatial and temporal evolution is studied of two powerful short laser pulses having different wavelengths and interacting with a dense three-level Lambda-type optical medium under coherent population trapping. A general case of unequal…

Quantum Physics · Physics 2009-11-07 V. G. Arkhipkin , I. V. Timofeev

Optical soliton dynamics can cause the extreme alteration of the temporal and spectral shape of a propagating light pulse. They occur at up to kilowatt peak powers in glass-core optical fibres and the gigawatt level in gas-filled…

We review the recent progress in experimental and theoretical research of interactions between the acoustic, magnetic and plasmonic transients in hybrid metal-ferromagnet multilayer structures excited by ultrashort laser pulses. The main…

Mesoscale and Nanoscale Physics · Physics 2016-10-27 Vasily V. Temnov , Ilya Razdolski , Thomas Pezeril , Denys Makarov , Denis Seletskiy , Alexey Melnikov , Keith A. Nelson

We propose a novel method based on the so-called shortcut to adiabatic passage techniques to achieve fast compression of temporal solitons in a nonlinear waveguide. We demonstrate that soliton compression could be achieved, in principle, at…

Optics · Physics 2018-05-23 Koushik Paul , Amarendra K. Sarma

Nonlinear optical spectroscopies are powerful tools for probing quantum dynamics in molecular and nanoscale systems. While intuition about ultrafast spectroscopies is often built by considering impulsive optical pulses, actual experiments…

Chemical Physics · Physics 2021-01-21 Peter A. Rose , Jacob J. Krich

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

Materials Science · Physics 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf

Performative prediction is an emerging paradigm in machine learning that addresses scenarios where the model's prediction may induce a shift in the distribution of the data it aims to predict. Current works in this field often rely on…

Machine Learning · Computer Science 2025-09-03 Guangzheng Zhong , Yang Liu , Jiming Liu

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

Machine Learning · Statistics 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis
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