First integrals and general solution of the complex Ginzburg-Landau equation

NA Kudryashov - Applied Mathematics and Computation, 2020 - Elsevier
Abstract The complex Ginzburg-Landau equation is considered using the traveling wave
reduction. The first integral for the system of nonlinear differential equations is found. The …

Optical solitons with Biswas–Arshed equation by F-expansion method

Y Yıldırım - Optik, 2021 - Elsevier
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Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method

I Samir, N Badra, HM Ahmed, AH Arnous - Communications in Nonlinear …, 2021 - Elsevier
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 …

[HTML][HTML] Optical soliton solutions for time-fractional Ginzburg–Landau equation by a modified sub-equation method

MAS Murad, HF Ismael, FK Hamasalh, NA Shah… - Results in Physics, 2023 - Elsevier
In the present work, we employed a novel modification of the Sardar sub-equation approach,
leading to the successful derivation of several exact solutions for the time-fractional …

Exact solutions of the complex Ginzburg–Landau equation with law of four powers of nonlinearity

NA Kudryashov - Optik, 2022 - Elsevier
Abstract The complex Ginzburg–Landau equation having polynomial law of nonlinearity with
four powers is considered. The Cauchy problem for this equation cannot be solved by the …

Stationary optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion

AM Yalçı, M Ekici - Optical and Quantum Electronics, 2022 - Springer
The current work is on the retrieval of stationary soliton solutions to the complex Ginzburg–
Landau equation that is studied with nonlinear chromatic dispersion having a plethora of …

The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions

K Hosseini, M Mirzazadeh, D Baleanu, N Raza… - The European Physical …, 2021 - Springer
In the present work, the generalized complex Ginzburg–Landau (GCGL) model is
considered and its 1-soliton solutions involving different wave structures are retrieved …

Optical solitons with the complex Ginzburg–Landau equation with Kudryashov's law of refractive index

AH Arnous, L Moraru - Mathematics, 2022 - mdpi.com
In this paper, the optical solitons for the complex Ginzburg–Landau equation with
Kudryashov's law of refractive index are established. An improved modified extended tanh …

[HTML][HTML] Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems

N Raza, A Jaradat, GA Basendwah, A Batool… - Alexandria Engineering …, 2024 - Elsevier
This study mainly focuses on finding new forms of optical soliton solutions of a modified
complex Ginzburg-Landau equation. A versatile integration approach, the extended sinh …

Highly dispersive optical solitons in fiber Bragg gratings with stochastic perturbed Fokas–Lenells model having spatio-temporal dispersion and multiplicative white …

EME Zayed, KA Gepreel, M El-Horbaty - Optik, 2023 - Elsevier
In this paper, we derive optical soliton solutions with highly dispersive optical solitons in fiber
Bragg gratings with stochastic perturbed Fokas–Lenells model having spatio-temporal …