Localized Solutions to the Coupled Complex Ginzburg-Landau Equations
نویسندگان
چکیده
منابع مشابه
Localized structures in coupled Ginzburg–Landau equations
Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to a Hopf bifurcation leading to nonlinear oscillations. We study numerically this set of equations and find, within a particular range of parameters, the presence of uniformly propagating localized objects behaving as coherent structures. Some of these localized objects are...
متن کاملStationary Localized Solutions in the Subcritical Complex Ginzburg-Landau equation
The discovery of confined traveling waves in convection in binary fluids [Heinrichs et al., 1987; Kolodner et al., 1987; Kolodner et al., 1988; Niemela et al., 1990; Moses et al., 1987] has been a motivation for theoretical work on localized solutions of amplitude equations [Afanasjev et al., 1996; Akhmediev et al., 1996; Deissler & Brand, 1990, 1994, 1995; Fauve & Thual, 1990; Hakim & Pomeau, ...
متن کاملWave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations.
We study the effect of spatial frequency forcing on standing-wave solutions of coupled complex Ginzburg-Landau equations. The model considered describes several situations of nonlinear counterpropagating waves and also of the dynamics of polarized light waves. We show that forcing introduces spatial modulations on standing waves which remain frequency locked with a forcing-independent frequency...
متن کاملLocalized states in a triangular set of linearly coupled complex Ginzburg-Landau equations.
We introduce a pattern-formation model based on a symmetric system of three linearly coupled cubic-quintic complex Ginzburg-Landau equations, which form a triangular configuration. This is the simplest model of a multicore fiber laser. We identify stability regions for various types of localized patterns possible in this setting, which include stationary and breathing triangular vortices.
متن کاملLarge vorticity stable solutions to the Ginzburg-Landau equations
We construct local minimizers to the Ginzburg-Landau functional of superconductivity whose number of vortices N is prescribed and blows up as the parameter ε, inverse of the Ginzburg-Landau parameter κ, tends to 0. We treat the case of N as large as |log ε|, and a wide range of intensity of external magnetic field. The vortices of our solutions arrange themselves with uniform density over a sub...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1996
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.95.823