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We present numerical and analytical results for the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimension. Our mean field analysis identifies regimes where the…

Quantum Gases · Physics 2012-10-22 Sidse Damgaard Hansen , Nicolai Nygaard , Klaus Mølmer

We give a means for measuring the equation of evolution of a complex scalar field that is known to obey an otherwise unspecified (2+1)-dimensional dissipative nonlinear parabolic differential equation, given field moduli over three…

Other Condensed Matter · Physics 2009-11-10 Rotha P. Yu , David M. Paganin , Michael J. Morgan

The mediated photon-photon interaction due to the resonant Kerr nonlinearity in an inhomogeneously broadened atomic vapor is considered. The time-scale for photon-photon scattering is computed and found to be determined by the inhomogeneous…

Optics · Physics 2009-11-06 M. W. Mitchell , R. Y. Chiao

The possibility of tailoring the guidance properties of optical fibers along the same direction as the evolution of the optical field allows to explore new directions in nonlinear fiber optics. The new degree of freedom offered by…

Pattern Formation and Solitons · Physics 2017-10-16 A. Kudlinski , A. Mussot , M. Conforti , D. V. Skryabin

We study theoretically the spatial evolution of optical beams inside a graded-index fiber exhibiting saturable nonlinearity. Utilizing an approach based on the variational principle, we identify the existence of bistable spatial solitons…

Optics · Physics 2026-02-10 Tiyas Das , Anuj P. Lara , Samudra Roy , Govind P. Agrawal

The existence of solitons -- stable, long-lived, and localized field configurations -- is a generic prediction for ultralight dark matter. These solitons, known by various names such as boson stars, axion stars, oscillons, and Q-balls…

High Energy Physics - Phenomenology · Physics 2025-10-09 Hong-Yi Zhang

Solitons in a strongly nonlocal nonlinear medium have attracted considerable attention in recent years due to their unique and distinctive characteristics from those observed in the local nonlinear medium. In this work, we investigate the…

Pattern Formation and Solitons · Physics 2026-03-18 K L Mamatha , S Stalin , K Nithyanandan

Binding of particles through weak (non-covalent) interactions plays a central role in multiple modern disciplines, from Cooper pairing of electrons in superconductivity to formation of supramolecules in biochemistry. Optical solitons, which…

Optics · Physics 2018-08-03 W. He , M. Pang , D. H. Yeh , J. Huang , C. R. Menyuk , P. St. J. Russell

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

Mode-locked lasers play the role of the ideal testbeds for studying self-coherent structures, dissipative solitons, with stable spatiotemporal profiles supported by the balance between dispersion and nonlinearity. However, under some…

Pattern Formation and Solitons · Physics 2022-11-18 Zhiwei Huang , Sergey Sergeyev , Qing Wang , Hani Kbashi , Dmitrii Stoliarov , Qianqian Huang , Yuze Dai , Zhijun Yan , Chengbo Mou

For the first time a method for realizing macroscopic quantum optical solitons is presented. Simultaneous photon-number and momentum squeezing is predicted using soliton propagation in an interferometer. Extraction of soliton pulses closer…

Quantum Physics · Physics 2009-10-31 M. J. Werner

Solitons are localized nonlinear wave packets that propagate without spreading because nonlinearity balances dispersion. Their robustness is well understood in effectively one-dimensional systems, but introducing additional spatial…

This study aims to investigate the interactions of solitons with an external force within the framework of the Schamel equation, both asymptotically and numerically. By utilizing asymptotic expansions, we demonstrate that the soliton…

Fluid Dynamics · Physics 2023-08-09 Marcelo V. Flamarion , Efim Pelinovsky

The bright soliton in optical fiber is generally investigated via its spatial evolution in the time domain, where its waveform is considered in many studies. To be consistent with the well-established picture of the dynamics of solitons in…

Optics · Physics 2007-05-23 Yi Tang , Wei Wang

We study experimentally the interactions between normal solitons and tilted beams in glass waveguide arrays. We find that as a tilted beam, traversing away from a normally propagating soliton, coincides with the self-defocusing regime of…

Pattern Formation and Solitons · Physics 2009-11-11 Y. Linzon , Y. Sivan , B. Malomed , M. Zaezjev , R. Morandotti , S. Bar-Ad

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

The possibility of exciting stationary solitons due to the Brewster effect is investigated. The analysis is performed by computing the transmission coefficient of an electromagnetic monochromatic wave obliquely incident on the optical…

Optics · Physics 2024-12-11 J. Posada-Loaiza , J. D. Mazo-Vásquez , E. Reyes-Gómez

We demonstrate that trapping of dispersive waves between two optical solitons takes place when resonant scattering of the waves on the solitons leads to nearly perfect reflections. The momentum transfer from the radiation to solitons…

Optics · Physics 2016-12-21 A. V. Yulin , R. Driben , B. A. Malomed , D. V. Skryabin

We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

We consider a two-dimensional nonlinear waveguide with distributed gain and losses. The optical potential describing the system consists of an unperturbed complex potential depending only on one transverse coordinate, i.e., corresponding to…