Title

Bright-dark and dark-dark solitons in coupled nonlinear Schrödinger equation with P T-symmetric potentials

Article Type

Research Article

Publication Title

Chaos

Abstract

We explore different nonlinear coherent structures, namely, bright-dark (BD) and dark-dark (DD) solitons in a coupled nonlinear Schrödinger/Gross-Pitaevskii equation with defocusing/repulsive nonlinearity coefficients featuring parity-time (PT)-symmetric potentials. Especially, for two choices of PT-symmetric potentials, we obtain the exact solutions for BD and DD solitons. We perform the linear stability analysis of the obtained coherent structures. The results of this linear stability analysis are well corroborated by direct numerical simulation incorporating small random noise. It has been found that there exists a parameter regime which can support stable BD and DD solitons.

DOI

10.1063/1.4997534

Publication Date

12-1-2017

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