Open AccessNonlocal Schrödinger-Maxwell-Bloch Equations
Author(s) -
Zh B Umurzakhova,
Kuralay Yesmakhanova,
A A Naizagarayeva,
U Meirambek
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012061
Subject(s) - maxwell's equations , bloch equations , integrable system , schrödinger equation , mathematical physics , lax pair , inverse scattering problem , schrödinger's cat , physics , transformation (genetics) , mathematics , quantum mechanics , scattering , biochemistry , chemistry , gene
In this paper we research the (1+1)-dimensional system of Schrodinger-Maxwell-Bloch equations (NLS-MBE), which describes the optical pulse propagation in an erbium doped fiber and find PT-symmetric and reverse space-time Schrodinger-Maxwell-Bloch equations, i.e. the kinds of nonlocal Schrodinger-Maxwell-Bloch equations. In particular case, the system of Schrödinger-Maxwell-Bloch equations is integrable by the Inverse Scattering Method as shown in the work of M.A blowitz and Z. Musslimani. Following this method we prove the integrability of the nonlocal system of Schröodinger-Maxwell-Bloch equations by Lax pairs. Also the explicit and different seed solutions are constructed by using Darboux transformation.