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

@article{Charalampidis2014DarkbrightSI, 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}, year={2014}, volume={91 1}, pages={ 012924 } }

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…

## 14 Citations

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

- PhysicsJournal 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.

- PhysicsChaos
- 2017

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.

### Engineering Bright Solitons to Enhance the Stability of Two-Component Bose-Einstein Condensates

- Physics
- 2015

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

- PhysicsPhysical review. E
- 2021

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

- Physics
- 2016

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

- Physics
- 2018

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

- Physics
- 2016

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

- PhysicsThe European Physical Journal D
- 2020

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…

## References

SHOWING 1-10 OF 29 REFERENCES

### Optical Solitons: From Fibers to Photonic Crystals

- Physics
- 2003

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

- Physics
- 2001

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

- Physics
- 1995

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

- Computer Science
- 1987

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

### Phys

- Rev. A 72, 033620 (2005); S. K. Adhikari, Phys. Lett. A 346, 179 (2005); Phys. Rev. A 72, 053608
- 2005

### Phys

- Lett. A 375, 642
- 2011

### Phys

- Rev. A 77, 013820
- 2008

### Chaos Solitons Fractals 44

- 381
- 2011