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We analyze optical soliton propagation in the presence of weak absorption lines with much narrower linewidths as compared to the soliton spectrum width using the novel perturbation analysis technique based on an integral representation in…

Optics · Physics 2010-03-25 V. L. Kalashnikov , E. Sorokin

Soliton dynamics in coupled Kerr microcavities is an important aspect of frequency comb technologies, with applications in optical communication and precision metrology. We investigate a minimal system consisting of two nearly identical…

Optics · Physics 2025-10-28 Daria A. Dolinina , Dmitry V. Turaev , Andrei G. Vladimirov

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. We report hydrodynamic experiments in which we investigate the interaction between two "beams" or "jets" of…

Optical solitons in multimode fibers have been predicted 40 years ago and extensively investigated theoretically. Transmission experiments in nonlinear multimode fibers have gained renewed interest, motivated by their potential to extend…

Optics · Physics 2024-04-02 Mario Zitelli

We propose a setup to observe soliton ratchet effects using discrete cavity solitons in a one-dimensional array of coupled waveguide optical resonators. The net motion of solitons can be generated by an adiabatic shaking of the holding beam…

Pattern Formation and Solitons · Physics 2009-11-11 Andrey V. Gorbach , Sergey Denisov , Sergej Flach

For a polygon in Euclidean space we consider a transformation T which is obtained by applying the midpoints polygon construction twice and using an index shift. For a closed polygon this is a curve shortening process. A polygon is called…

Differential Geometry · Mathematics 2016-06-22 Christine Rademacher , Hans-Bert Rademacher

We have applied the transformation of the slow light equations to Liouville theory that we developed in our previous work, to study the influence of relaxation on the soliton dynamics. We solved the problem of the soliton dynamics in the…

Quantum Physics · Physics 2007-05-23 A. V. Rybin , I. P. Vadeiko , A. R. Bishop

The fast dynamics of molecular polaritonics is scrutinized theoretically through the implementation of two-dimensional spectroscopy protocols. We derive conceptually simple and computationally efficient formulas to calculate two-dimensional…

Quantum Physics · Physics 2024-03-08 Daniela Gallego-Valencia , Lars Mewes , Johannes Feist , José Luis Sanz-Vicario

Real-time spectroscopy based on an emerging time-stretch technique can map the spectral information of optical waves into the time domain, opening several fascinating explorations of nonlinear dynamics in mode-locked lasers. However, the…

Optics · Physics 2018-08-23 X. M. Liu , Y. D. Cui

Characteristic features of soliton-comb structures in optical microresonators are investigated in normal and anomalous dispersion regimes, when the detuning parameter is varied over a broad range of values. The study rests on the assumption…

Optics · Physics 2019-12-17 R. D. Dikandé Bitha , Alain M. Dikandé

We introduce the concept of soliton clusters -- multi-soliton bound states in a homogeneous bulk optical medium, and reveal a key physical mechanism for their stabilization associated with a staircase-like phase distribution that induces a…

Pattern Formation and Solitons · Physics 2009-11-07 Anton S. Desyatnikov , Yuri S. Kivshar

We propose a scheme to generate solitons in arbitrary dimensions, in a matter-wave interferometer, without the need of quantum degeneracy. In our setting, solitons emerge by balancing the single-particle dispersion with engineered…

Quantum Physics · Physics 2025-12-09 Haoqing Zhang , Anjun Chu , Chengyi Luo , James K. Thompson , Ana Maria Rey

Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually, this term is used for integrable models where solitons…

Fluid Dynamics · Physics 2023-10-10 Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

We investigate theoretically soliton excitations and dynamics of their formation in strongly correlated systems of ultracold bosonic atoms in two and three dimensional optical lattices. We derive equations of nonlinear hydrodynamics in the…

Quantum Gases · Physics 2015-05-27 Eugene Demler , Andrei Maltsev

A suitable correction of the Maxwell model brings to an enlargement of the space of solutions, allowing for the existence of solitons in vacuum. We review the basic achievements of the theory and discuss some approximation results based on…

Computational Physics · Physics 2018-03-28 Daniele Funaro

We present a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices. Optical lattices offer the possibility to engineer and to control the diffraction of light…

Optics · Physics 2009-07-07 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

A novel, protean, topological soliton has recently been shown to emerge in systems of repulsive particles in cylindrical geometries, whose statics is described by the number-theoretical objects of phyllotaxis. Here we present a minimal and…

Soft Condensed Matter · Physics 2015-05-13 Cristiano Nisoli

Equations for contour dynamics of dark solitons are obtained for the general form of the nonlinearity function. Their self-similar solution which describes the nonlinear stage of the bending instability of dark solitons is studied in…

Pattern Formation and Solitons · Physics 2022-04-20 A. M. Kamchatnov

In this Letter we further develop the proposed approach of optical manipulation based on the interactions of non-linear optical effects with nanoparticles. The interaction of the dissipative optical solitons with nanoparticles is studied…

Optics · Physics 2020-04-22 D. A. Dolinina , A. S. Shalin , A. V. Yulin

We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems…

Pattern Formation and Solitons · Physics 2017-12-06 Avner Peleg , Quan M. Nguyen , Toan T. Huynh
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