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• W2000848066 abstract "We study the modulational instability and spatial pattern formation in extended media, taking the one-dimensional complex Ginzburg-Landau equation with higher-order terms as a perturbation of the nonlinear Schrodinger equation as a model. By stability analysis for the original partial differential equation, we derive its stability condition as well as the threshold for amplitude perturbations and we show how nonlinear higher-order terms qualitatively change the behavior of the system. The analytical results are found to be in agreement with numerical findings. Modulational instability mediates pattern formation through the lattice. The main feature of the traveling plane waves is its disintegration in pulse train during the propagation through the system." @default.
• W2000848066 created "2016-06-24" @default.
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• W2000848066 date "2006-10-05" @default.
• W2000848066 modified "2023-10-18" @default.
• W2000848066 title "Instability criteria and pattern formation in the complex Ginzburg-Landau equation with higher-order terms" @default.
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• W2000848066 doi "https://doi.org/10.1103/physreve.74.046604" @default.
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