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Optical and Quantum Electronics

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01-10-2023

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

Authors: Temesgen Desta Leta, Jingbing Chen, Abdelfattah El Achab

Published in: Optical and Quantum Electronics | Issue 10/2023

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Abstract

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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Title: Innovative solutions and sensitivity analysis of a fractional complex Ginzburg–Landau equation
Authors: Temesgen Desta Leta
Jingbing Chen
Abdelfattah El Achab
Publication date: 01-10-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 10/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05153-5

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