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An experimental procedure for studying soliton gases in shallow water is devised. Nonlinear waves propagate at constant depth in a 34\,m-long wave flume. At one end of the flume, the waves are generated by a piston-type wave-maker. The…

Fluid Dynamics · Physics 2022-09-09 Ivan Redor , Eric Barthélemy , Nicolas Mordant , Hervé Michallet

The collective excitation of the conduction electrons in subwavelength structures gives rise to the Localized Surface Plasmon(LSP). The system consisting of two such LSPs, known as the dimer system,is of fundamental interest and is being…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 Bo Liu , Eric J. Heller

Solitons occur in many physical systems when a nonlinearity compensates wave dispersion. Their recent formation in microresonators opens a new research direction for nonlinear optical physics and provides a platform for miniaturization of…

Optics · Physics 2017-05-04 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

We elaborate a mechanism for the formation of stable solitons of the semi-vortex type (with vorticities 0 and 1 in their two components), populating a finite bandgap in the spectrum of the spin-orbit-coupled binary Bose-Einstein condensate…

Quantum Gases · Physics 2018-02-14 H. Sakaguchi , B. A. Malomed

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze

We analyze the existence, stability, and mobility of gap solitons (GSs) in a periodic photonic structure built into a nonlocal self-defocusing medium. Counter-intuitively, the GSs are supported even by a highly nonlocal nonlinearity, which…

A system of resonance atoms is placed in a medium with developed polariton effect. In the spectrum of polariton states there can exist a band gap. If an atom with a resonance frequency inside the polariton gap is incorporated into the…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov

We report results of a systematic study of one-dimensional four-wave moving solitons in a recently proposed model of the Bragg cross-grating in planar optical waveguides with the Kerr nonlinearity; the same model applies to a fiber Bragg…

Pattern Formation and Solitons · Physics 2009-11-10 T. Mayteevarunyoo , Boris A. Malomed , P. L. Chu , A. Roeksabutr

In this paper we investigate the properties of self induced transparency (SIT) solitons, propagating in a $\Lambda$-type medium. It was found that the interaction between SIT solitons can lead to trapping with their phase preserved in the…

Optics · Physics 2013-05-29 Willem P. Beeker , Chris J. Lee , Edip Can , Klaus J. Boller

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

Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focusing nonlinear Schrodinger equation. Two main interaction…

Pattern Formation and Solitons · Physics 2018-10-24 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over to under-damped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of over-damped systems…

Statistical Mechanics · Physics 2007-07-05 R. Di Leonardo , G. Ruocco , J. Leach , M. J. Padgett , A. J. Wright , J. M. Girkin , D. R. Burnham , D. McGloin

We explore the possibilities of creating radiatively stable entangled states of two three-level dipole-interacting atoms in a $\Lambda$ configuration by means of laser biharmonic continuous driving or pulses. We propose three schemes for…

Quantum Physics · Physics 2009-10-31 I. V. Bargatin , B. A. Grishanin , V. N. Zadkov

We present a model of soliton propagation in waveguides with quadratic nonlinearity. Criteria for solitons to exist in such waveguides are developed and two example nano-waveguide structures are simulated as proof of concept. Interactions…

Optics · Physics 2019-12-11 William R. Rowe , Dmitry V. Skryabin , Andrey V. Gorbach

It was recently demonstrated that, in deep subwavelength gap resonators coupled to two-dimensional electron gases, coupling to propagating plasmons can lead to energy leakage and prevent the formation of polaritonic resonances. This…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Shima Rajabali , Josefine Enkner , Erika Cortese , Mattias Beck , Simone De Liberato , Jérôme Faist , Giacomo Scalari

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical…

Pattern Formation and Solitons · Physics 2009-11-11 K. Yagasaki , I. M. Merhasin , B. A. Malomed , T. Wagenknecht , A. R. Champneys

Particularly for aneutronic fusion schemes, it is advantageous to manipulate the fuel species differently from one another, as well as expel ash promptly. The ponderomotive effect can be used to selectively manipulate particles. It is…

Plasma Physics · Physics 2025-02-05 Tal Rubin , Nathaniel J. Fisch

We consider a dual-core nonlinear waveguide with the parity-time (PT) symmetry, realized in the form of equal gain and loss terms carried by the coupled cores. To expand a previously found stability region for solitons in this system, and…

Pattern Formation and Solitons · Physics 2019-07-24 Zhiwei Fan , Boris A. Malomed

Both the group velocity and phase velocity of two solitons can be synchronized by a Kerr-effect mediated interaction, causing what is known as soliton trapping. Trapping can occur when solitons travel through single-pass optical fibers or…

Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localised packet and which preserves this localisation in time. A soliton is a solitary wave which exhibits some strong form of stability so that…

Analysis of PDEs · Mathematics 2008-10-29 J. Bellazzini , V. Benci , C. Bonanno , E. Sinibaldi
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