Quiescent optical solitons with complex Ginzburg–Landau equation having a dozen forms of self–phase modulation [PDF]
Heliyon, 2023 The current study focuses on the recovery of quiescent optical solitons through the use of the complex Ginzburg–Landau equation when the chromatic dispersion is rendered to be nonlinear.
Ahmed H. Arnous +5 more
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Soliton turbulences in the complex Ginzburg-Landau equation [PDF]
, 2007 We study spatio-temporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many soliton-like pulses appear in the parameter range, because the complex Ginzburg-Landau ...
G. P. Agrawal +5 more
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Results in Physics, 2022 This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that is taken into account with Kerr law and cubic–quintic–septic nonlinearity.
Ming-Yue Wang
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New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation
Universal Journal of Mathematics and Applications, 2020 In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
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On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation [PDF]
, 2005 The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone +28 more
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Analytical wave families and stability dynamics in a modified complex Ginzburg–Landau model via the modified extended direct algebraic method [PDF]
Scientific ReportsThis study investigates the Modified Complex Ginzburg–Landau Equation, a fundamental nonlinear partial differential equation that plays a central role in modeling complex wave dynamics, pattern formation, and dissipative phenomena in systems such as ...
Adel E. Rateb +4 more
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 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 ...
Kamyar Hosseini +6 more
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
Ain Shams Engineering Journal, 2018 In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting [PDF]
Scientific ReportsThis study investigates soliton solutions and dynamic wave behaviors in the complex Ginzburg–Landau equation, a model that plays a central role in describing diverse physical phenomena such as superconductivity, nonlinear optical fibers, liquid crystals,
Muhammad Bilal +6 more
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Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations [PDF]
Electronic Journal of Differential Equations, 2017 Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara +2 more
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