Connected and disconnected stable regions of solitons of nonlinear Schr\'odinger equation with $\mathcal{PT}$-symmetric potential

Autor:	Ghosh, Niladri, Das, Amiya, Nath, Debraj
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	We have considered cubic nonlinear Schr\"odinger equation along with supersymmetric $\mathcal{PT}$ like potential and obtained exact stationary solutions in terms of bright and brigh-dark interacting solitons. The $\mathcal{PT}$ broken and $\mathcal{PT}$ 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. Comment: 9 pages 56 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.07812 Zobrazit plný text záznamu View this record from Arxiv