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Under optical excitation, coupled quantum wells are known to reveal fascinating features in the photoluminescence pattern originating from dipole orientated indirect excitons. The appearance of an external ring has been attributed to…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 J. Wilkes , E. A. Muljarov , A. L. Ivanov

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

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

We study experimentally the interaction of a soliton with a nonlinear lattice. We observe the formation of a novel type of composite soliton created by strong coupling of mutually incoherent periodic and localized beam components. By…

Pattern Formation and Solitons · Physics 2009-11-10 Dragomir Neshev , Yuri S. Kivshar , Hector Martin , Zhigang Chen

Colloidal particles that are confined to an interface such as the air-water interface are an example of a two-dimensional fluid. Such dispersions have been observed to spontaneously form cluster and stripe morphologies in certain systems…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer

We derive a general expression for the multipole expansion of the electro-magnetic interaction in relativistic heavy-ion collisions, which can be employed in higher-order dynamical calculations of Coulomb excitation. The interaction has…

Nuclear Theory · Physics 2009-11-07 H. Esbensen , C. A. Bertulani

This paper determines values of intersection exponents between packs of planar Brownian motions in the half-plane and in the plane that were not derived in our first two papers. For instance, it is proven that the exponent $\xi (3,3)$…

Probability · Mathematics 2015-06-26 Gregory F. Lawler , Oded Schramm , Wendelin Werner

We numerically demonstrate the unidirectional flow of flat-top solitons when interacting with two reflectionless potential wells with slightly different depths. The system is described by a nonlinear Schr\"{o}dinger equation with dual…

Pattern Formation and Solitons · Physics 2023-06-02 M. O. D. Alotaibi , L. Al Sakkaf , U. Al Khawaja

Particles moving inside a fluid near, and interacting with, invariant manifolds is a common phenomenon in a wide variety of applications. One elementary question is whether we can determine once a particle has entered a neighbourhood of an…

Dynamical Systems · Mathematics 2018-12-24 Christian Kuehn , Francesco Romano , Hendrik C. Kuhlmann

Two-component Bose-Einstein condensates in the miscible phase can support polarization solitary waves, known as magnetic solitons. By calculating the interaction potential between two magnetic solitons, we elucidate the mechanisms and…

Quantum Gases · Physics 2025-11-21 R. M. V. Röhrs , Chunlei Qu , R. N. Bisset

We consider the effect of non-reciprocity in a binary mixture of self-propelled particles with anti-aligning interactions, where a particle of type A reacts differently to a particle of type B than vice versa. Starting from a well-known…

Statistical Mechanics · Physics 2025-10-03 Jakob Mihatsch , Thomas Ihle

The Casimir energy for the classically stable configurations of the topological solitons in 2D quantum antiferromagnets is studied by performing the path-integral over quantum fluctuations. The magnon fluctuation around the solitons…

Strongly Correlated Electrons · Physics 2018-06-29 Hirohiko Shimada , Kazutaka Takahashi , Hiroaki. T. Ueda

We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition…

patt-sol · Physics 2016-08-15 J. L. Marín , J. C. Eilbeck , F. M. Russell

We study the integrable nonlocal nonlinear Schr\"odinger equation proposed by Ablowitz and Musslimani, that is considered as a particular example of equations with parity-time ($\mathcal{PT}$) symmetric self-induced potential. We consider…

Pattern Formation and Solitons · Physics 2019-05-27 Rahmi Rusin , Rudy Kusdiantara , Hadi Susanto

We show that when a single vortex convected by a flowing background collides with an oblique dark soliton in defocusing Kerr-type medium, it passes through the oblique soliton, but this process is accompanied by a considerable vertical…

Optics · Physics 2015-06-19 Yaroslav V. Kartashov , Anatoly M. Kamchatnov

This paper deals with the theory of collisions between two ultracold particles with a special focus on molecules. It describes the general features of the scattering theory of two particles with internal structure, using a time-independent…

Atomic Physics · Physics 2017-03-28 Goulven Quéméner

We investigate the coherent collision of anisotropic quasi-two-dimensional bright solitons in dipolar Bose-Einstein condensates. Our analysis is based on the extended Gross-Pitaevskii equation, and we use the split-operator method for the…

Quantum Gases · Physics 2012-11-14 Rüdiger Eichler , Damir Zajec , Patrick Köberle , Jörg Main , Günter Wunner

Here, building on our previous work [Phys. Rev. B, 92, 125153, (2015)], it is shown that the propagation of unidirectional gapless edge states at an interface of two topologically distinct electromagnetic continua with a well-behaved…

Optics · Physics 2017-03-03 Mario G. Silveirinha

We present experiments performed in a recirculating fiber loop in which we realize the single-shot observation of the space and time interaction of two and three bright solitons. The space-time evolutions observed in experiments provide…

Pattern Formation and Solitons · Physics 2023-06-21 François Copie , Pierre Suret , Stéphane Randoux

We investigate the presence of soliton solutions in some classes of nonlinear partial differential equations, namely generalized Korteweg-de Vries-Burgers, Korteveg-de Vries-Huxley, and Korteveg-de Vries-Burgers-Huxley equations, which…

solv-int · Physics 2007-05-23 D. Bazeia , E. P. Raposo
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