Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.

  title={Dark-bright solitons in coupled nonlinear Schr{\"o}dinger equations with unequal dispersion coefficients.},
  author={Efstathios G Charalampidis and Panayotis G. Kevrekidis and Dimitri J. Frantzeskakis and Boris A. Malomed},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={91 1},
We study a two-component nonlinear Schrödinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating it as a frozen one, we explore the possibility of the formation of bright-solitonic structures in the other component. We identify bifurcation points at which such states emerge in the bright component in the linear limit and explore their continuation into the… 

Internal oscillations of a dark-bright soliton in a harmonic potential

  • M. AlotaibiL. Carr
  • Physics
    Journal of Physics B: Atomic, Molecular and Optical Physics
  • 2018
We investigate the dynamics of a dark-bright soliton in a harmonic potential using a mean-field approach via coupled nonlinear Schrödinger equations appropriate to multi-component Bose–Einstein

Bright-dark and dark-dark solitons in coupled nonlinear Schrödinger equation with PT-symmetric potentials.

It has been found that there exists a parameter regime which can support stable BD and DD solitons and the linear stability analysis of the obtained coherent structures is performed.

Systematic vector solitary waves from their linear limits in one-dimensional n-component Bose-Einstein condensates.

The Bogoliubov-de Gennes spectral analysis shows that all of the states considered herein can be fully stabilized in suitable chemical potential intervals in the Thomas-Fermi regime.

Realization of negative mass regime and bound state of solitons in inhomogeneous Bose-Einstein condensates

Abstract We study the dispersion mechanism (Lieb-mode excitation) of both single and two-component Bose-Einstein condensates, subject to an external trap in a mean-field approach, where the second

On the Properties of a Nonlocal Nonlinear Schrödinger Model and Its Soliton Solutions

Nonlinear waves are normally described by means of certain nonlinear evolution equations. However, finding physically relevant exact solutions of these equations is, in general, particularly

Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics

Efforts have been put into investigating a variable-coefficient coherently coupled nonlinear Schrodinger system with the alternate signs of nonlinearities, describing the propagation of the waves in

Formation of solitonic bound state via light-matter interaction

Abstract Exchange of energy by means of light-matter interaction provides a new dimension to various nonlinear dynamical systems. Here, the effects of light-matter interaction are investigated for a



Optical Solitons: From Fibers to Photonic Crystals

Preface 1. Introduction 2. Spatial Solitons 3. Temporal Solitons 4. Dark Solitons 5. Bragg Solitons 6. Two-Dimensional Solitons 7. Spatiotemporal Solitons 8. Vortex Solitons 9. Vector Solitons 10.

Bose-Einstein Condensation in Dilute Gases

1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.

Applied nonlinear dynamics : analytical, computational, and experimental methods

Perturbation Methods Dynamical Systems and Equilibrium Solutions Dynamic Solutions Tools to Characterize Different Motions Two-to-One Internal Resonances Combination Internal Resonances Three-to-One

Solving Nonlinear Equations with Newton's Method

This chapter discusses how to get the Newton Step with Gaussian Elimination software and some of the methods used to achieve this goal.


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