Innovative solutions and sensitivity analysis of a fractional complex Ginzburg–Landau equation

被引：0
作者：
Temesgen Desta Leta
Jingbing Chen
Abdelfattah El Achab
机构：
[1] Nanjing University of Information Science and Technology,School of Mathematics and Statistics
[2] Nanjing University of Information Science and Technology,College of Reading
[3] University Cadi Ayyad,Faculty of Science Semlalia
[4] Bd. du Prince Moulay Abdellah,undefined
来源：
Optical and Quantum Electronics | 2023年 / 55卷
关键词：
Bifurcation; Complex Ginzburg–Landau equation; Traveling wave solution; Chaotic behavior; 34K20; 34K18; 37G10; 78M25;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we consider the fractional complex Ginzburg–Landau equation with Kerr law and power law nonlinearity. Using the conformable derivative approach and the bifurcation method, we effectively derived new explicit exact parametric representations of solutions (including solitary wave solutions, periodic wave solutions, kink and antikink wave solution, compacton) under different parameter conditions. The quasiperiodic, chaotic behavior and sensitivity analysis of the model is studied for different values of parameters after deploying an external periodic force. Finally, various 2D and 3D simulation figures are plotted to show the physical significance of these exact solutions.
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[1]  
Abdeljawad T(2013)Dual identities in fractional difference calculus within Riemann Adv. Differ. Equ. 2013 36-1241
[2]  
Abdeljawad T(2012)On the definitions of Nabla fractional operators Abstr. Appl. Anal.2012 406757 13-467
[3]  
Atici F.M(2007)Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method Commun. Nonlinear Sci. Numer. Simul. 12 1229-332
[4]  
Abdou MA(2018)Dark-singular combo optical solitons with fractional complex Ginzburg-Landau equation Optik 171 463-989
[5]  
Elhanbaly A(2021)New exact solutions of time conformable fractional Klein Kramer equation Opt Quant. Electron 53 693-104
[6]  
Abdou MA(2018)Soliton solutions of fractional complex Ginzburg-Landau equation with Kerr law and non-Kerr law media Optik 160 322-237
[7]  
Soliman AA(2009)Initial value problems in discrete fractional calculus Proceedings of the American Math. Society 137 981-8
[8]  
Biswas A(2004)Symbolic calculation in chemistry: selected examples Inter. J Quant. Chemistry 100 80-60
[9]  
Alderremy AA(2015)A fractional calculus on arbitrary time scales: fractional differentiation and fractional integration Signal Process 107 230-32
[10]  
Abdel-Gawad HI(2012)Optical soliton perturbation in non-Kerr law media: traveling wave solution Opt Laser Technol 44 263-662
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