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Stochastic complex Ginzburg-Landau equation on compact surfaces

open access: yes
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
core   +1 more source

General soliton solutions of an n-dimensional complex Ginzburg-Landau equation

open access: yes, 2000
: Applying the function transformation method, an n-dimensional complex Ginzburg-Landau equation is transformed to a sine-Gordon equation, sinh-Gordon equation and other equations, which depends only on one function, zeta; and can be solved.
Seadawy, A.R.   +2 more
core  

Threshold solutions of the energy-critical complex Ginzburg-Landau equation

open access: yes
In this article, we consider energy-critical complex Ginzburg-Landau equation in three and four dimensions.
Cheng, Xing, Zheng, Yunrui
core  

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