Standing Wave Patterns for the Complex Swift-Hohenberg Equation
نویسندگان
چکیده
منابع مشابه
Modulation Equation for Stochastic Swift-Hohenberg Equation
The purpose of this paper is to study the influence of large or unbounded domains on a stochastic PDE near a change of stability, where a band of dominant pattern is changing stability. This leads to a slow modulation of the dominant pattern. Here we consider the stochastic Swift-Hohenberg equation and derive rigorously the Ginzburg-Landau equation as a modulation equation for the amplitudes of...
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The complex Swift-Hohenberg equation models pattern formation arising from an oscillatory instability with a finite wave number at onset and, as such, admits solutions in the form of traveling waves. The properties of these waves are systematically analyzed and the dynamics associated with sources and sinks of such waves investigated numerically. A number of distinct dynamical regimes is identi...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1997
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.98.577