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Electrons colliding with spatially fixed ions in strong laser fields are investigated by solving the time-dependent Schr\"odinger equation. Considering first simple one-dimensional model systems, the mechanisms and energy spectra of fast…

Atomic Physics · Physics 2015-10-28 S. Bauch , M. Bonitz

We study the formation of dark-bright vector soliton pairs in nonlocal Kerr-type nonlinear medium. We show, by analytical analysis and direct numerical calculation, that in addition to stabilize vector soliton pairs nonlocal nonlinearity…

Optics · Physics 2007-05-23 Lin YuanYao , Lee Ray-Kuang

Binary discrete nonlinear Schr\"odinger equation is used to describe dynamics of two-species Bose-Einstein condensate loaded into an optical lattice. Linear inter-species coupling leads to Rabi transitions between the species. In the regime…

Pattern Formation and Solitons · Physics 2015-12-10 Denis V. Makarov , M. Yu. Uleysky

We study numerically and experimentally supercontinuum generation in optical fibers with dark and bright solitons simultaneously contributing into the spectral broadening and dispersive wave generation. We report a novel type of weak…

Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and photorefractive materials, the vector solitons…

Pattern Formation and Solitons · Physics 2021-06-29 S. Stalin , R. Ramakrishnan , M. Lakshmanan

Dark soliton formation in mode-locked lasers is investigated by means of a power-energy saturation model which incorporates gain and filtering saturated with energy, and loss saturated with power. It is found that general initial conditions…

We elucidate the properties of mixed-gap vector surface solitons supported by the interface between a uniform medium and an optical lattice imprinted in a Kerr-type nonlinear media. The components of such mixed-gap solitons emerge from…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Fangwei Ye , Lluis Torner

An asymmetric pair of coupled nonlinear Schr{\"o}dinger (CNLS) equations has been derived through a multiscale perturbation method applied to a plasma fluid model, in which two wavepackets of distinct carrier wavenumbers and amplitudes are…

Plasma Physics · Physics 2024-03-22 N. Lazarides , Giorgos P. Veldes , D. J. Frantzeskakis , Ioannis Kourakis

We consider the interaction of a nonlinear Schrodinger soliton with a localized (point) defect in the medium through which it travels. Using numerical simulations, we find parameter regimes under which the soliton may be reflected,…

Pattern Formation and Solitons · Physics 2007-05-23 R. H. Goodman , P. J. Holmes , M. I. Weinstein

The possibility of generating stable anisotropic solitons in dipolar Bose-Einstein condensates (BECs) leads to a different scenario not possible in a nondipolar BEC with contact interaction. We study the statics and dynamics of anisotropic…

Quantum Gases · Physics 2022-02-04 Luis E. Young-S. , S. K. Adhikari

We construct symmetry preserving and symmetry broken N-bright, dark and antidark soliton solutions of a nonlocal nonlinear Schr\"{o}dinger equation. To obtain these solutions, we use appropriate eigenfunctions in Darboux transformation (DT)…

Exactly Solvable and Integrable Systems · Physics 2018-11-01 N. Vishnu Priya , M. Senthilvelan , Rangarajan Govindan , M. Lakshmanan

The interaction of two rectangular pulses in nonlinear Schroedinger model is studied by solving the appropriate Zakharov-Shabat system. It is shown that two real pulses may result in appearance of moving solitons. Different limiting cases,…

Pattern Formation and Solitons · Physics 2009-11-10 E. N. Tsoy , F. Kh. Abdullaev

Employing a time-dependent mean-field-hydrodynamic model we study the generation of black solitons in a degenerate fermion-fermion mixture in a cigar-shaped geometry using variational and numerical solutions. The black soliton is found to…

Soft Condensed Matter · Physics 2015-06-25 Sadhan K. Adhikari

We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 T. Kanna , M. Lakshmanan

Discrete solitons in the Ablowitz-Ladik (AL) and discrete nonlinear Schr\"odinger (DNLS) equations with damping and strong rapid drive are investigated. The averaged equations have the forms of the parametric AL and DNLS equations. A new…

Pattern Formation and Solitons · Physics 2015-06-26 Josselin Garnier , Fatkhulla Abdullaev , Mario Salerno

The general theory of dark solitons relies on repulsive interactions and therefore predicts the impossibility to form dark-soliton bound states. One important exception to this prediction is the observation of bound solitons in non-local…

We report on the controlled creation of multiple soliton complexes of the dark-bright type in one-dimensional two-component, three-component and spinor Bose-Einstein condensates. The formation of these states is based on the so-called…

Quantum Gases · Physics 2020-06-05 A. Romero-Ros , G. C. Katsimiga , P. G. Kevrekidis , P. Schmelcher

We theoretically investigate the one-dimensional dynamics of a dark soliton in a two-component immiscible mixture of Bose-Einstein condensates with repulsive interactions. We analyze the reflection and transmission of a soliton when it…

Quantum Gases · Physics 2024-06-11 Maria Arazo , Montserrat Guilleumas , Ricardo Mayol , Michele Modugno

Exciton-polaritons are quasi-particles arising from the strong coupling regime between excitons and photons. In planar microcavitites, phenomena such as superfluidity or Bose-Einstein condensation can be observed. Those systems have…

Quantum Gases · Physics 2021-02-04 Anne Maître

We study the scattering properties of optical dipole-mode vector solitons recently predicted theoretically and generated in a laboratory. We demonstrate that such a radially asymmetric composite self-trapped state resembles ``a molecule of…

Pattern Formation and Solitons · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia , W. Krolikowski , Y. S. Kivshar