Solitons and Jacobi Elliptic Function Solutions To the Complex Ginzburg-Landau Equation
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Date
2020
Journal Title
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Publisher
Frontiers Media Sa
Open Access Color
GOLD
Green Open Access
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Top 10%
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Abstract
The complex Ginzburg-Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified Jacobi elliptic expansion method. In special cases, several dark and bright soliton solutions to the CGL equation are retrieved when the modulus of ellipticity approaches unity. The results presented in the current work can help to complete previous studies on the complex Ginzburg-Landau equation.
Description
Osman, M. S./0000-0002-5783-0940
ORCID
Keywords
Complex Ginzburg-Landau Equation, Detuning Factor, Modified Jacobi Elliptic Expansion Method, Solitons, Jacobi Elliptic Function Solutions, Elliptic function, QC1-999, Evolutionary biology, Spatial Solitons, Jacobi elliptic function solutions, Mathematical analysis, Quantum mechanics, Optical Frequency Combs and Ultrafast Lasers, Discrete Solitons in Nonlinear Photonic Systems, Soliton, solitons, FOS: Mathematics, Elliptic integral, Work (physics), Jacobi elliptic functions, Biology, Physics, detuning factor, complex Ginzburg–Landau equation, Statistical and Nonlinear Physics, modified Jacobi elliptic expansion method, Atomic and Molecular Physics, and Optics, Physics and Astronomy, Function (biology), Mathematical physics, Physical Sciences, Nonlinear system, Theta function, Mathematics, Rogue Waves in Nonlinear Systems
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Hosseini, Kamyar...et al. (2020). "Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation", Frontiers in Physics, Vol. 8.
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
25
Source
Frontiers in Physics
Volume
8
Issue
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Citations
Scopus : 27
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