Solitons for the (2+1)-dimensional nonlinear Schrödinger-Maxwell-Bloch equations in an erbium-doped fibre

2015 ◽  
Vol 63 (6) ◽  
pp. 590-597 ◽  
Author(s):  
Xiao-Yu Wu ◽  
Bo Tian ◽  
Hui-Ling Zhen ◽  
Wen-Rong Sun ◽  
Ya Sun
Keyword(s):  
Bloch Equations ◽  
Nonlinear Schrödinger ◽  
Erbium Doped ◽  
Maxwell Bloch Equations

scholarly journals Nonlocal Schrödinger-Maxwell-Bloch Equations

2021 ◽  
Vol 2090 (1) ◽  
pp. 012061
Author(s):  
Zh B Umurzakhova ◽  
K R Yesmakhanova ◽  
A A Naizagarayeva ◽  
U Meirambek
Keyword(s):  
Inverse Scattering ◽  
Optical Pulse ◽  
Pulse Propagation ◽  
Inverse Scattering Method ◽  
Dimensional System ◽  
Scattering Method ◽  
Bloch Equations ◽  
Optical Pulse Propagation ◽  
Erbium Doped ◽  
Maxwell Bloch Equations

Abstract 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.

Numerical solutions to 2D Maxwell–Bloch equations

2008 ◽  
Vol 40 (5-6) ◽  
pp. 447-453 ◽  
Author(s):  
Jingyi Xiong ◽  
Max Colice ◽  
Friso Schlottau ◽  
Kelvin Wagner ◽  
Bengt Fornberg
Keyword(s):  
Numerical Solutions ◽  
Bloch Equations ◽  
Maxwell Bloch Equations
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