New optical solitons for complex Ginzburg–Landau equation with beta derivatives via two integration algorithms

2021 ◽  
Author(s):  
L. Ouahid ◽  
M. A. Abdou ◽  
S. Owyed ◽  
M. Inc ◽  
A. M. Abdel-Baset ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Integration Algorithms

scholarly journals Optical solitons with differential group delay for complex Ginzburg–Landau equation

2020 ◽  
Vol 16 ◽  
pp. 102888 ◽  
Author(s):  
Yakup Yıldırım ◽  
Anjan Biswas ◽  
Anwar Ja’afar Mohamad Jawad ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Group Delay ◽  
Landau Equation ◽  
Optical Solitons ◽  
Differential Group Delay ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Differential Group

Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation

2007 ◽  
Vol 75 (3) ◽  
Author(s):  
D. Mihalache ◽  
D. Mazilu ◽  
F. Lederer ◽  
H. Leblond ◽  
B. A. Malomed
Keyword(s):  
Landau Equation ◽  
Three Dimensional ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Optical solitons with complex Ginzburg–Landau equation

2016 ◽  
Vol 85 (3) ◽  
pp. 1979-2016 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mehmet Ekici ◽  
Abdullah Sonmezoglu ◽  
Mostafa Eslami ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Optical solitons with complex Ginzburg–Landau equation by modified simple equation method

Optik ◽  
2017 ◽  
Vol 144 ◽  
pp. 475-480 ◽  
Author(s):  
Ahmed H. Arnous ◽  
Aly R. Seadawy ◽  
Rubayyi T. Alqahtani ◽  
Anjan Biswas
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Simple Equation ◽  
Equation Method ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Modified Simple Equation Method

Dark-singular combo optical solitons with fractional complex Ginzburg–Landau equation

Optik ◽  
2018 ◽  
Vol 171 ◽  
pp. 463-467 ◽  
Author(s):  
M.A. Abdou ◽  
A.A. Soliman ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Optical solitons with complex Ginzburg–Landau equation for two nonlinear forms using F-expansion

2019 ◽  
Vol 61 ◽  
pp. 255-261 ◽  
Author(s):  
Amiya Das ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
Ali S. Alshomrani ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

scholarly journals Optical solitons of fractional complex Ginzburg–Landau equation with conformable, beta, and M-truncated derivatives: a comparative study

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Amjad Hussain ◽  
Adil Jhangeer ◽  
Naseem Abbas ◽  
Ilyas Khan ◽  
El-Syed M. Sherif
Keyword(s):  
Landau Equation ◽  
Sufficient Conditions ◽  
Detailed Comparison ◽  
Optical Solitons ◽  
Comparative Approach ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Kerr Law Nonlinearity ◽  
Algebraic Scheme

Abstract In this paper, we investigate the optical solitons of the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law nonlinearity which shows various phenomena in physics like nonlinear waves, second-order phase transition, superconductivity, superfluidity, liquid crystals, and strings in field theory. A comparative approach is practised between the three suggested definitions of derivative viz. conformable, beta, and M-truncated. We have constructed the optical solitons of the considered model with a new extended direct algebraic scheme. By utilization of this technique, obtained solutions carry a variety of new families including dark-bright, dark, dark-singular, and singular solutions of Type 1 and 2, and sufficient conditions for the existence of these structures are given. Further, graphical representations of the obtained solutions are depicted. A detailed comparison of solutions to the considered problem, obtained by using different definitions of derivatives, is reported as well.

Optical solitons with complex Ginzburg-Landau equation having a plethora of nonlinear forms with a couple of improved integration norms

Optik ◽  
2020 ◽  
Vol 207 ◽  
pp. 163804 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Mahmoud El-Horbaty ◽  
Anjan Biswas ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Landau Equation ◽  
Optical Solitons ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation
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