Phase-Diffusion Equations for the Anisotropic Complex Ginzburg–Landau Equation
International Journal of Bifurcation and ChaosEquations of the Ginzburg–Landau type play a fundamental role as generic amplitude equations to which physical, chemical, biological as well as engineering systems can be reduced to describe pattern forming processes near instabilities. The subject of this paper is the 2D Anisotropic Complex Ginzburg–Landau Equation (ACGLE) and its reduction to phase ...
Derek R. Handwerk +3 more
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The Complex Ginzburg-Landau Equation with Weak Initial Data
, 2007 In this paper we investigate the existence and regularity of the solutions to the complex Ginzburg-Landau equation, @ t u = Au+ (a + i )\Deltau \Gamma (b + i¯)juj 2oe u, on the phase space L r;p (R n ) of weighted L p functions in infinite domain ...
Jiahong Wu
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Numerically derived scalings for the complex Ginzburg-Landau equation
, 1998 We describe some new numerical results concerning the scaling of norms on the turbulent attractor of the quintic complex Ginzburg-Landau equation, ut = (1 + i?)uxx + Ru ?
Wilson, RE, Wilson, R. Eddie
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The Complex Ginzburg Landau Model for an Oscillatory Convection in a Rotating Fluid Layer
, 2020 A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode.
Reddy, P. Raj +7 more
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Nonequilibrium dynamics of the complex Ginzburg-Landau equation: Analytical results [PDF]
, 2001 We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau equation. In particular, we characterize evolution morphologies using spiral defects. This paper is the first in a two-stage exposition. Here,
Sanjay Puri +5 more
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On the stability of localized structures in the complex Ginzburg–Landau equation
Physica A: Statistical Mechanics and its Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics of vortices for the Complex Ginzburg-Landau equation
, 2008 We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion ...
Miot, Evelyne
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Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization [PDF]
Opuscula MathematicaWe study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schrödinger equation and dissipative parabolic dynamics ...
Pascal Bégout, Jesús Ildefonso Díaz
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Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion. [PDF]
Opt Quantum Electron, 2022 Yalçı AM, Ekici M.
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Bifurcating Vortex Solutions Of The Complex Ginzburg-Landau Equation
, 2007 . It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2ß-periodic vortex solutions that have 2n simple zeros ("vortices") per period.
Dr. Hans +3 more
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