Results 11 to 20 of about 978 (180)
Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]
Physical Review E, 2001 11 pages, 5 ...
Puri, Sanjay +2 more
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Triggered Fronts in the Complex Ginzburg Landau Equation [PDF]
Journal of Nonlinear Science, 2013 We study patterns that arise in the wake of an externally triggered, spatially propagating instability in the complex Ginzburg-Landau equation. We model the trigger by a spatial inhomogeneity moving with constant speed. In the comoving frame, the trivial state is unstable to the left of the trigger and stable to the right.
Ryan N. Goh, Arnd Scheel
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Results in Physics, 2021 This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed +4 more
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Bistability in the complex Ginzburg–Landau equation with drift [PDF]
Physica D: Nonlinear Phenomena, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Houghton, S.M. +3 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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New solutions to the complex Ginzburg-Landau equations
Physical Review E, 2022 The various régimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, sinks. We provide here three exact such patterns observed in numerical calculations but never found analytically. One is a quintic case localized homoclinic
Conte, Robert +3 more
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Complex Ginzburg–Landau Equation with Generalized Finite Differences
Mathematics, 2020 In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation.
Eduardo Salete +5 more
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Standing waves of the complex Ginzburg–Landau equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $ϕ_t = e^{iθ} Δϕ+ e^{iγ} |ϕ|^αϕ$ with periodic boundary conditions. Our result includes all values of $θ$ and $γ$ for which $\cos θ\cos γ>0$, but requires that $α>0$ be sufficiently small.
Cazenave, Thierry +2 more
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Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 In this paper, highly dispersive optical solitons are obtained with the perturbed complex GinzburgâLandau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach.
Ming-Yue Wang +5 more
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Fractal modification of complex Ginzburg–Landau model arising in the oscillating phenomena
Results in Physics, 2020 The complex Ginzburg-Landau Equation (CGLE) is one of the non-trivial models for addressing the dynamics of oscillating, highly nonlinear processes right before the start of oscillations. This paper presents the complex Ginzburg-Landau fractal model with
Yasir Khan
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