Results 21 to 30 of about 23,473 (246)
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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On the stable hole solutions in the complex Ginzburg–Landau equation
Physica A: Statistical Mechanics and its Applications, 2005 Abstract We show numerically that the one-dimensional quintic complex Ginzburg–Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation.
Orazio Descalzi +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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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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Complex Ginzburg-Landau equation with nonlocal coupling [PDF]
Physical Review E, 2003 A Ginzburg-Landau-type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation point and in the presence of another small parameter. The reaction-diffusion systems to be reduced are such that the chemical components constituting local oscillators are ...
Tanaka, D, Kuramoto, Y
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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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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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Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation
Journal of Applied Mathematics, 2023 The dynamical behaviour of traveling waves in a class of two-dimensional system whose amplitude obeys the two-dimensional complex cubic-quintic Ginzburg-Landau equation is deeply studied as a function of parameters near a subcritical bifurcation.
F. Waffo Tchuimmo +5 more
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Ergodicity for the stochastic Complex Ginzburg–Landau equations [PDF]
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 2006 We study a stochastic complex Ginzburg--Landau (CGL) equation driven by a smooth noise in space and we establish exponential convergence of the Markovian transition semi-group toward a unique invariant probability measure. Since Doob Theorem does not seem not to be useful in our situation, a coupling method is used.
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