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Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

The observation of temporal dissipative Kerr solitons in optical microresonators provides, on the applied side, compact sources of coherent optical frequency combs that have already been applied in coherent communications, dual comb…

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov

We introduce soliton percolation phenomena in the nonlinear transport of light packets in suitable optical lattices with random properties. Specifically, we address lattices with a gradient of the refractive index in the transverse plane,…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

In this work, we present a detailed study of the dynamics and stability of fundamental spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse profile of the linear refractive index. Pulsed beam propagation in…

Pattern Formation and Solitons · Physics 2023-08-16 Pedro Parra-Rivas , Yifan Sun , Stefan Wabnitz

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…

It has been observed that certain classical chains admit topologically protected zero-energy modes that are localized on the boundaries. The static features of such localized modes are captured by linearized equations of motion, but the…

Soft Condensed Matter · Physics 2018-07-18 Koji Sato , Ryokichi Tanaka

Soliton hydrodynamics is an appealing tool to describe strong turbulence in low-dimensional systems. Strong turbulence in quasi-one dimensional spuerfluids, such as Bose-Einstein condensates, involves the dynamics of dark solitons and,…

Quantum Gases · Physics 2020-11-24 C. Pereira , J. D. Rodrigues , J. T. Mendonça , H. Terças

Soliton crystals are periodic patterns of multi-spot optical fields formed from either time or space entanglements of equally separated identical high-intensity pulses. These specific nonlinear optical structures have gained interest in…

Optics · Physics 2018-03-21 Rodrigues D. Dikande Bitha , Alain M. Dikande

We study experimentally and theoretically discrete solitons in crystalline structures consisting of several tens of laser-cooled ions confined in a radiofrequency trap. Resonantly exciting localized, spectrally gapped vibrational modes of…

Quantum Physics · Physics 2017-10-18 J. Brox , P. Kiefer , M. Bujak , H. Landa , T. Schaetz

Dissipative solitons are non-dispersive localized waves that exhibit intriguing dynamics. In optical systems, the discovery of new soliton dynamics and how to accurately manipulate dissipative solitons are still largely unexplored and…

Magnetic droplet solitons are dynamical magnetic textures that form due to an attractive interaction between spin waves in thin films with perpendicular magnetic anisotropy. Spin currents and the spin torques associated with these currents…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 Ferran Macià , Andrew D. Kent

A variety of solitary waves, such as solitons, vortex rings, solitonic vortices, and more complex entities, have recently been predicted to exist. They can move in superfluid ultracold gases along elongated traps. The theoretical…

Quantum Gases · Physics 2017-02-15 L. P. Pitaevskii

A conceptually new notion of hydrodynamic optical soliton tunneling is introduced in which a dark soliton is incident upon an evolving, broad potential barrier that arises from an appropriate variation of the input signal. The barriers…

Pattern Formation and Solitons · Physics 2018-04-04 P. Sprenger , M. A. Hoefer , G. A. El

A new type of soliton with controllable speed is constructed generalizing the theory of slow-light propagation to an integrable regime of nonlinear dynamics. The scheme would allow the quantum-information transfer between optical solitons…

Quantum Physics · Physics 2007-05-23 Ulf Leonhardt

Dynamics of the Davydov's soliton in an external oscillating in time magnetic field is studied analytically. It is shown that in a field perpendicular to the molecular chain axis, soliton wavefunction is a product of the electron plane wave…

Soft Condensed Matter · Physics 2024-08-15 Larissa Brizhik

It is shown that matter solitons can be effectively managed by means of smooth variations of parameters of optical lattices in which the condensate is loaded. The phenomenon is based on the effect of lattice modulations on the carrier wave…

Soft Condensed Matter · Physics 2009-11-10 V. A. Brazhnyi , V. V. Konotop , V. Kuzmiak

We consider the problem of the formation of soliton states from a modulationally unstable initial condition in the framework of the Schr\"odinger-Poisson (or Newton-Schr\"odinger) equation accounting for gravitational interactions. We…

Pattern Formation and Solitons · Physics 2021-12-10 Josselin Garnier , Kilian Baudin , Adrien Fusaro , Antonio Picozzi

This paper studies the behavior of solitons in the Korteweg-de Vries equation under the influence of multiplicative noise. We introduce stochastic processes that track the amplitude and position of solitons based on a rescaled frame…

Analysis of PDEs · Mathematics 2024-02-06 Rik W. S. Westdorp , Hermen Jan Hupkes

Optical solitons-stable waves balancing delicately between nonlinearities and dispersive effects-have advanced the field of ultrafast optics and dynamics, with contributions spanning supercontinuum generation and soliton fission, to optical…