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
Recommended Citation
Nath, Debraj; Gao, Yali; Babu Mareeswaran, R.; Kanna, T.; and Roy, Barnana, "Bright-dark and dark-dark solitons in coupled nonlinear Schrödinger equation with P T-symmetric potentials" (2017). Journal Articles. 2316.
https://digitalcommons.isical.ac.in/journal-articles/2316