Properties of nonlinear waves in an actively-dissipative dispersive medium

被引：0
|
作者：
N. A. Kudryashov
P. N. Ryabov
机构：
来源：
Fluid Dynamics | 2011年 / 46卷
关键词：
dispersion; dissipation; nonlinear waves; Kuramoto-Sivashinsky equation; turbulence; periodic structures; chaos;
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学科分类号：
摘要：
The wave processes in an actively-dissipative dispersive medium described by a nonlinear evolutionary fourth-order equation are considered. With the use of traveling-wave variables analytical solutions in the form of solitary waves and kinks are obtained for certain combinations of the problem parameters. The stability of the exact solutions obtained is studied. The processes of formation of stable periodic oscillations are considered for different model parameters. The control parameter ranges, on which periodic structures can be formed, are determined.
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页码：425 / 432
页数：7
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