Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method

•Complex Ginzburg–Landau (CGL) equation having Kerr law nonlinearity with Hamiltonian terms.•Modified extended direct algebraic method is used.•Dark, bright and singular solitons are obtained.•Weierstrass elliptic, plane wave, hyperbolic, exponential, singular periodic and periodic wave solutions ar...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2021-11, Vol.102, p.105945, Article 105945
Main Authors: Samir, Islam, Badra, Niveen, Ahmed, Hamdy M., Arnous, Ahmed H.
Format: Article
Language:English
Subjects:
Algebra
Complex Ginzburg–Landau equation
Fiber optics
Hamiltonian perturbations
Kerr law nonlinearity
Modified extended direct algebraic method
Nonlinear systems
Nonlinearity
Optical fibers
Perturbation
Plane waves
Solitary waves
Solitons
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Summary:•Complex Ginzburg–Landau (CGL) equation having Kerr law nonlinearity with Hamiltonian terms.•Modified extended direct algebraic method is used.•Dark, bright and singular solitons are obtained.•Weierstrass elliptic, plane wave, hyperbolic, exponential, singular periodic and periodic wave solutions are reported. The solitons in birefringent optical fibers with Hamiltonian perturbations and Kerr law nonlinearity is studied in this paper. By using the modified extended direct algebraic method, we obtained soliton solutions and other solutions for complex Ginzburg-Landau (CGL) equation having kerr law nonlinearity with Hamiltonian terms. Bright solitons, dark solitons, singular solitons, Weierstrass elliptic, plane wave, hyperbolic, exponential, singular periodic and periodic wave solutions are reported. Finally, for the physical illustration of the obtained solutions, 3D and 2D graphs are presented.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2021.105945