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We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

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

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima. These solutions are bubbles of the false vacuum whose size is set by…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Shiraz Minwalla , Andrew Strominger

We show the possible stable soliton generation for the dark-state polaritons (DSPs) in an electromagnetic induced transparency (EIT) medium composed of $\Lambda$-type atoms. Whether the solitons are dark or bright can be controlled by the…

Quantum Physics · Physics 2009-11-10 Xiong-Jun Liu , Hui Jing , Mo-Lin Ge

Solitons in nematic liquid crystals offer intriguing opportunities for transport and sensing in microfluidic systems. Little is known about the elementary conditions that are needed to create solitons in nematic materials. In this work,…

Soft Condensed Matter · Physics 2022-11-04 Xingzhou Tang , Ali Mozaffari , Noe Atzin , Soumik Das , Nicholas L. Abbott , Juan J. de Pablo

We study the formation of gap solitons in the presence of parametric pump. It is shown that parametric pump can stabilize stationary solitons continuously emitting dispersive waves. The resonant interactions of the radiation and the…

Optics · Physics 2015-06-19 Alexey V. Yulin , Leonardo R. Gorjão , Kestutis Staliunas

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…

The Korteweg-de Vries and Benjamin-Ono nonlinear wave equations can describe solitary waves, all of which propagate in the same direction and which emerge from collisions with their shapes unchanged. There are technical challenges to giving…

Pattern Formation and Solitons · Physics 2019-11-01 Brett Altschul

We introduce a system of propagation equations for the fundamental-frequency (FF) and second-harmonic (SH) waves in the bulk waveguide with the effective fractional diffraction and quadratic (chi ^(2)) nonlinearity. The numerical solution…

Pattern Formation and Solitons · Physics 2024-06-03 Hidetsugu Sakaguchi , Boris A. Malomed

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle-like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical…

Optics · Physics 2022-06-23 Finn Buldt , Pascal Basséne , Moussa N'Gom

The properties of nonlinear interference pattern between atomic bright solitons are characterized analytically, with the aid of exact solutions of dynamical equation in mean-field approximation. It is shown that relative velocity, relative…

Quantum Gases · Physics 2018-04-06 Li-Chen Zhao , Guo-Guo Xin , Zhan-Ying Yang , Wen-Li Yang

This letter reports experimental results on a new type of soliton: the random temporal dark soliton. One excites an incoherent large-amplitude propagating spin-wave packet in a ferromagnetic film strip with a repulsive, instantaneous…

Mesoscale and Nanoscale Physics · Physics 2010-05-06 Wei Tong , Mingzhong Wu , Lincoln D. Carr , Boris A. Kalinikos

We discuss the dynamics of interacting dark-bright two-dimensional vector solitons in multicomponent immiscible bulk Bose-Einstein condensates. We describe matter-wave molecules without a scalar counterpart that can be seen as bound states…

Pattern Formation and Solitons · Physics 2011-06-01 Chenyun Yin , Natalia G. Berloff , Víctor M. Pérez-García , David Novoa , Alicia V. Carpentier , Humberto Michinel

We propose the use of bright matter-wave solitons formed from Bose-Einstein condensates with attractive interactions to probe and study quantum reflection from a solid surface at normal incidence. We demonstrate that the presence of…

Quantum Physics · Physics 2010-10-29 S. L. Cornish , N. G. Parker , A. M. Martin , T. E. Judd , R. G. Scott , T. M. Fromhold , C. S. Adams

"Light bullets" are multi-dimensional solitons which are localized in both space and time. We show that such solitons exist in two- and three-dimensional self-induced-transparency media and that they are fully stable. Our approximate…

Optics · Physics 2009-11-06 M. Blaauboer , B. A. Malomed , G. Kurizki

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. Despite significant theoretical developments and observational evidence of ubiquity of soliton gases in fluids…

Relativistic solitons are self-trapped, finite size, electromagnetic waves of relativistic intensity that propagate without diffraction spreading. They have been predicted theoretically within the relativistic fluid approximation, and have…

Plasma Physics · Physics 2015-06-26 Daniela Farina , Sergei V. Bulanov

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

Solitary wave and soliton solutions of nonlinear equations are well known for physicists. A soliton is a solitary wave with some outstanding features which make it reasonable to be studied seriously in nonlinear systems. In fact most of the…

Pattern Formation and Solitons · Physics 2010-04-28 Azizollah Azizi , Mohammad Mohammadi

We have shown that the wave scattering by a soliton occurs in a peculiar way. The nonlinear interaction leads to the generation of waves with frequencies that are multiples of the frequency of the incident wave, minus the frequency of the…

Pattern Formation and Solitons · Physics 2023-12-12 A. S. Dmitriev , E. A. Dmitrieva , A. G. Panin