Darboux Transformation and Solitons for Reduced Maxwell–Bloch Equations

2005 ◽  
Vol 43 (6) ◽  
pp. 983-986
Author(s):  
Ji Qing-Chun
Keyword(s):  
Darboux Transformation ◽  
Bloch Equations ◽  
Maxwell Bloch Equations

scholarly journals Single and Multi-Soliton Solutions for a Spectrally Deformed Set of Maxwell-Bloch Equations

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 435
Author(s):  
Mehmet Baran
Keyword(s):  
Nonlinear Optics ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Bloch Equations ◽  
Spectral Deformation ◽  
Maxwell Bloch Equations

A specific spectral deformation of the Maxwell-Bloch equations of nonlinear optics is investigated. The Darboux transformation formalism is adapted to this spectrally deformed system to construct its single and multi-soliton solutions. The Effects of spectral deformation on soliton behaviour is studied.

Darboux transformation and the exact solutions of the (2+1)-dimensional nonlocal complex modified Korteweg-de Vries and Maxwell–Bloch equations

2020 ◽  
Vol 34 (22) ◽  
pp. 2050230
Author(s):  
Na-Na Li ◽  
Hui-Qin Hao ◽  
Rui Guo
Keyword(s):  
Exact Solutions ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Lax Pair ◽  
Darboux Transformations ◽  
Bloch Equations ◽  
Dynamic Behaviors ◽  
De Vries ◽  
Maxwell Bloch Equations

In this paper, we consider the (2[Formula: see text]+[Formula: see text]1)-dimensional nonlocal complex modified Korteweg-de Vries and Maxwell–Bloch (cmKdV-MB) equations. According to the relevant Lax pair presented, we construct one- and two-fold Darboux transformations (DT). The exact solutions are derived from the trivial seeds by DT and the dynamic behaviors of soliton solutions are analyzed by individual pictures.

Darboux transformation and new soliton solutions for the (2+1)-dimensional complex modified Korteweg–de Vries and Maxwell–Bloch equations

2018 ◽  
Vol 32 (23) ◽  
pp. 1850277 ◽  
Author(s):  
Rui Guo ◽  
Run Zhou ◽  
Xiao-Mei Zhang ◽  
Yu-Zhen Chai
Keyword(s):  
Symbolic Computation ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Lax Pair ◽  
Dynamic Features ◽  
Bloch Equations ◽  
De Vries ◽  
Maxwell Bloch Equations

In this paper, we focus on the (2[Formula: see text]+[Formula: see text]1)-dimensional complex modified Korteweg–de Vries and Maxwell–Bloch (CMKdV-MB) equations. According to the relevant Lax pair, the n-fold Darboux transformation (DT) is constructed. In addition, via the DT and symbolic computation, two different kinds of soliton solutions are derived from trivial seed solutions. Meanwhile, the dynamic features of soliton solutions are graphically analyzed.

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

TIME AVERAGING OF IRREGULAR SPATIOTEMPORAL PATTERNS OF A LARGE APERTURE LASER IN TRANSITORY REGIME

2001 ◽  
Vol 11 (06) ◽  
pp. 1771-1779
Author(s):  
F. ENCINAS-SANZ ◽  
I. LEYVA ◽  
J. M. GUERRA
Keyword(s):  
Experimental Technique ◽  
Exposure Time ◽  
Time Integration ◽  
Spatiotemporal Patterns ◽  
Time Averaging ◽  
Bloch Equations ◽  
Ordered Structures ◽  
Large Aperture ◽  
Spatiotemporal Behavior ◽  
Maxwell Bloch Equations

By means of a new experimental technique, we measure quasi-intantaneous transverse intensity patterns in the gain-switch peak of a transversely excited atmospheric CO 2 laser with large aperture. The patterns recorded with a 2 ns resolution show a completely irregular spatiotemporal behavior, but when the exposure time of the measurements increases, boundary-determined ordered structures can be observed. As a quantification of this averaging process, the contrast of the intensity distributions decreases as the time integration grows. The results are numerically reproduced by integration of the full Maxwell–Bloch equations.

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