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Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala

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

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

Pattern Formation and Solitons · Physics 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

Nonlinear optical wave propagation manifests in a multitude of frequencies generated from quantum-noise, and selecting desired nonlinear products usually requires seeding the medium with extraneous waves, employing spatial or spectral…

Optics · Physics 2019-03-06 Lars Rishøj , Boyin Tai , Poul Kristensen , Siddharth Ramachandran

Solitary waves, dubbed "solitons", are special types of waves that propagate for an infinite distance under ideal conditions. These waves are ubiquitously found in nature such as typhoon or neuron signals. Yet, their artificial generation…

Soft Condensed Matter · Physics 2020-07-20 Satoshi Aya , Fumito Araoka

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

Solitons are non-dispersive wave solutions that arise in a diverse range of nonlinear systems, stablised by a focussing or defocussing nonlinearity. First observed in shallow water, solitons have subsequently been studied in many other…

Atomic Physics · Physics 2015-06-12 A. L. Marchant , T. P. Billam , T. P. Wiles , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in physics in particular. Flat-top solitons are a novel type of…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

Solitons are among the most distinguishing fundamental excitations in a wide range of non-linear systems such as water in narrow channels, high speed optical communication, molecular biology and astrophysics. Stabilized by a balance between…

Other Condensed Matter · Physics 2009-11-13 C. Becker , S. Stellmer , P. Soltan-Panahi , S. Dörscher , M. Baumert , E. -M. Richter , J. Kronjäger , K. Bongs , K. Sengstock

We study exciton-polariton nonlinear optical fluids in a high momentum regime for the first time. Defects in the fluid develop into dark solitons whose healing length decreases with increasing density. We deduce interaction constants for…

We investigate the propagation and scattering of polaritons in a planar GaAs microcavity in the linear regime under resonant excitation. The propagation of the coherent polariton wave across an extended defect creates phase and intensity…

Solitons and breathers are nonlinear modes that exist in a wide range of physical systems. They are fundamental solutions of a number of nonlinear wave evolution equations, including the uni-directional nonlinear Schr\"odinger equation…

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local strength and sign of…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Boris A. Malomed , Lluis Torner

The concept of soliton complex in a nonlinear dispersive medium is proposed. It is shown that strongly interacting identical topological solitons in the medium can form bound soliton complexes which move without radiation. This phenomenon…

patt-sol · Physics 2007-05-23 Mikhail M. Bogdan , Arnold M. Kosevich , Gerard A. Maugin

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

Solitons are self-reinforcing localized wave packets arising from a balance of linear and nonlinear effects. This definition encompasses the interplay of nonlinear gain and loss, leading to the concept of dissipative solitons that has been…

Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

Pattern Formation and Solitons · Physics 2007-05-23 Yu. A. Bunyak

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

Solitary waves have consistently captured the imagination of scientists, ranging from fundamental breakthroughs in spectroscopy and metrology enabled by supercontinuum light, to gap solitons for dispersionless slow-light, and discrete…

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