Finding Solitons in Bifurcations of Stationary Solutions of Complex Ginzburg-Landau Equation
, 2007 Nonlinear dissipative systems, particularly optical dissipative solitons are well described by complex Ginzburg-Landau equation. Solutions of two- and three-dimensional complex cubic-quintic Ginzburg-Landau equation assuming exponential dependence on ...
Derbazi, M. +2 more
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Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
, 2020 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 ...
Uwe C. Täuber, Weigang Liu
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Existence and stability of singular patterns in a Ginzburg–Landau equation coupled with a mean field
, 2002 We study singular patterns in a particular system of parabolic partial differential equations which consist of a Ginzburg–Landau equation and a mean field equation.
Norbury, J +9 more
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The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction [PDF]
Nonlinear Processes in Geophysics, 2009 Nonlinear interactions of the barotropic Rossby waves propagating across the equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are studied within the two-layer model of the atmosphere, or the ocean. It is shown that the equatorial
G. M. Reznik, V. Zeitlin
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Null Controllability of the Complex Ginzburg-Landau Equation
, 2008 International audienceThe paper investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation.
Rosier, Lionel +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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Convergence of the pseudospectral method for the Ginzburg-Landau equation
, 1990 The convergence of the pseudospectral (Fourier) method for the Ginzburg-Landau equation in nonlinear wave theory is proved.
Yang, Yisong
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A logarithmic extension of the Hölder inequality
Journal of Inequalities and Applications, 1999 We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
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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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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
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