Connected and disconnected stable regions of solitons of nonlinear Schrödinger equation with PT-symmetric potential

2021/07/16 by Ghosh, Niladri, Das, Amiya, Nath, Debraj
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.2107.07812

Abstract

We have considered cubic nonlinear Schrödinger equation along with supersymmetric PT like potential and obtained exact stationary solutions in terms of bright and brigh-dark interacting solitons. The PT broken and PT unbroken regions are demonstrated also depicted. Connected and disconnected stable regions of bright and dark solitons are examined incorporating linear stability analysis validated by direct numerical simulations. Moreover, the strength of stability has been illustrated through excitations of bright and dark solitons.

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