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On the stable hole solutions in the complex Ginzburg–Landau equation

Orazio Descalzi, Gustavo Düring and Enrique Tirapegui

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 1, 66-71

Abstract: We show numerically that the one-dimensional quintic complex Ginzburg–Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.

Keywords: Ginzburg–Landau equation; Stable hole solutions (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:1:p:66-71

DOI: 10.1016/j.physa.2005.05.014

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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