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 …
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
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 …
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
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 …
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 …
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 …
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
In the present work, the generalized complex Ginzburg–Landau (GCGL) model is
considered and its 1-soliton solutions involving different wave structures are retrieved …
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
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 …
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
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 …
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 …
Bragg gratings with stochastic perturbed Fokas–Lenells model having spatio-temporal …