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Bright and dark solitons of the cubic nonlinear Schrodinger equation are used to construct complex-valued potentials with all-real spectrum. The real part of these potentials is equal to the intensity of a bright soliton while their…

Pattern Formation and Solitons · Physics 2023-04-13 Oscar Rosas-Ortiz , Sara Cruz y Cruz

The realization of a cavity soliton laser using a vertical-cavity surface-emitting semiconductor gain structure coupled to an external cavity with a frequency-selective element is reported. All-optical control of bistable solitonic emission…

Optics · Physics 2009-11-13 Y. Tanguy , T. Ackemann , W. J. Firth , R. Jaeger

We reveal the existence of asymmetric vortex solitons in ideally symmetric periodic lattices, and show how such nonlinear localized structures describing elementary circular flows can be analyzed systematically using the energy-balance…

We introduce a general model which augments the one-dimensional nonlinear Schr\"{o}dinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new terms contain two irreducible parameters and admit a…

Mathematical Physics · Physics 2015-06-04 Y. Shen , P. G. Kevrekidis , N. Whitaker , Boris A. Malomed

We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain…

Exactly Solvable and Integrable Systems · Physics 2007-06-06 Debabrata Pal , Sk. Golam Ali , B. Talukdar

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

Light emission in sonoluminescence is shown to be a lasing process with a wide gain bandwidth. Population inversion of the gas molecules inside the bubble is achieved by hydrodynamical pumping. Analytic expressions are derived for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pritiraj Mohanty

We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main…

Optics · Physics 2013-03-18 Yuliy V. Bludov , Vladimir V. Konotop , Boris A. Malomed

The inversion states of a saturated traveling-wave three-level quantum paramagnetic amplifier have been investigated under conditions of bistable resonator pumping. The equations of motion for the vectorial order parameter have been…

Exactly Solvable and Integrable Systems · Physics 2009-11-12 D. N. Makovetskii

We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional…

Pattern Formation and Solitons · Physics 2025-04-11 Eduard Pavlyshynets , Luca Salasnich , Boris A. Malomed , Alexander Yakimenko

The stability of phase domains and spatial solitons in DOPO under the presence of an injected signal is investigated. The injected signal prevents the nondegenerate regime and, for a particular value of the phase, preserves the equivalence…

Pattern Formation and Solitons · Physics 2007-05-23 Kestutis Staliunas , Victor J. Sanchez-Morcillo

The optical absorption of a single spherical semiconductor quantum dot in an electrical field is studied taking into account the nonlocal coupling between the field of the light and the polarizability of the semiconductor. These nonlocal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Thiele , Ch. Fuchs , R. v. Baltz

We analyze the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) ``dynamical superlattices'' can be used to controllably place, guide,…

Other Condensed Matter · Physics 2016-08-16 Mason A. Porter , P. G. Kevrekidis , R. Carretero-González , D. J. Frantzeskakis

A signature of the scattering between microcavity polaritons and longitudinal optical phonons has been observed in the electroluminescence spectrum of an intersubband device operating in the light-matter strong coupling regime. By…

Mesoscale and Nanoscale Physics · Physics 2012-12-20 A. Delteil , A. Vasanelli , P. Jouy , D. Barate , J. C. Moreno , R. Teissier , A. N. Baranov , C. Sirtori

We investigate theoretically the interaction of dark solitons in materials with a spatially nonlocal nonlinearity. In particular we do this analytically and for arbitrary degree of nonlocality. We employ the variational technique to show…

Pattern Formation and Solitons · Physics 2015-05-19 Qian Kong , Q. Wang , O. Bang , W. Krolikowski

We theoretically study the properties of one-dimensional nonlinear saturable photonic lattices exhibiting multiple mobility windows for stationary solutions. The effective energy barrier decreases to a minimum in those power regions where a…

Pattern Formation and Solitons · Physics 2011-04-19 Uta Naether , Rodrigo A. Vicencio , Milutin Stepić

We address vortex solitons supported by optical lattices featuring modulation of both the linear and nonlinear refractive indices. We find that when the modulation is out-of-phase the competition between both effects results in remarkable…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

By using the inverse spectral transform, the SRS equations are solved and the explicit output data is given for arbitrary laser pump and Stokes seed profiles injected on a vacuum of optical phonons. For long duration laser pulses, this…

solv-int · Physics 2009-10-28 C. Claude , J. Leon

The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagating inside such structures can be…

We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics…

Pattern Formation and Solitons · Physics 2022-03-09 Tristram J. Alexander , G. A. Tsolias , A. Demirkaya , Robert J. Decker , C. Martijn de Sterke , P. G. Kevrekidis