Nonlinear Instability of Equilibrium Solution for the Ginzburg-Landau Equation

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Abstract

We study the nonlinear instability of plane wave solutions to a Ginzburg- Landau equation with derivatives. We show that, under some condition in coefficient of the equation, these waves are unstable.

Keywords:

Nonlinear instability;Ginzburg-Landau equation
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Nonlinear Instability of Equilibrium Solution for the Ginzburg-Landau Equation. (2005). Journal of Partial Differential Equations, 18(3), 227-234. https://www.global-sci.com/index.php/jpde/article/view/4047