Results 91 to 100 of about 2,462 (177)
Analysis of iterative methods for solving a Ginzburg-Landau equation
, 2005 . Very recently we have proposed to use a complex Ginzburg-Landau equation for high contrast inpainting, to restore higher dimensional (volumetric) data (which has applications in frame interpolation), improving sparsely sampled data and to fill in ...
Alfio Borzi +2 more
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Stochastic complex Ginzburg-Landau equation on compact surfaces
We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After renormalizing the equation in a suitable manner, we show that the dynamics is
Robert, Tristan, Zine, Younes
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Exact soliton solutions, chaotic dynamics, and high-precision simulations for the modified complex Ginzburg–Landau equation [PDF]
AIP AdvancesThis study presents a unified framework for the modified complex Ginzburg–Landau (CGL) equation, addressing key gaps in traditional research, such as the neglect of coupling between fourth-order dispersion and Kerr nonlinearity, as well as improper ...
Zexian Liu +3 more
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Inviscid Limits of the Complex Ginzburg-Landau Equation
, 2007 In the inviscid limit the generalized complex Ginzburg-Landau equation reduces to the nonlinear Schrodinger equation. This limit is proved rigorously with H 1 data in the whole space for the Cauchy problem and in the torus with periodic boundary ...
Philippe Bechouche, Ansgar Jüngel
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Interaction of spiral waves in the complex Ginzburg-Landau equation.
, 2008 Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived.
Chapman, Stephen +3 more
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Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
, 2019 The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a Hopf ...
Liu, Weigang, Täuber, Uwe C.
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The inviscid limit of the derivative complex Ginzburg–Landau equation
, 2004 We show that the solutions of the derivative complex Ginzburg–Landau equation ut−(ε+i)uxx+(a+i)g(|u|2)u+(α+iβ)(|u|2u)x=0 converge to the solution of the derivative nonlinear Schrödinger equation ut−iuxx+ig(|u|2)u+α(|u|2u)x=0 if the real parameters ε, a ...
Wang, YD +3 more
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Ginzburg-Landau Model for Stability Analysis of Fluid Flows
A general scheme for the solution of stability problems for two-dimensional flows (the Navier-Stokes equations and shallow water equations) by means of a weakly nonlinear theory is analyzed in the paper. Equations of the first, second and the third order
Eglīte, Irina, Koliškins, Andrejs
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Soliton solutions of the complex Ginzburg-Landau Equation [PDF]
, 2009 The function transformed method is applied to an n-dimensional complex Ginzburg-Landau equation (CGLE), which is being transformed to physically significant well known nonlinear waves equations depending only on the function ?, and these equations can be
Yousif Rasheed, Faisal Salah +1 more
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Stationary localized solutions in the subcritical complex ginzburg landau equation [PDF]
, 2002 It is shown that pulses in the complete quintic one-dimensional Ginzburg{Landau equation with complex coe cients appear through a saddle-node bifurcation which is determined analytically through a suitable approximation of the explicit form of the ...
Tirapegui, Enrique +3 more
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