Nonlinear dynamical regimes of the generalized Kuramoto-Sivashinsky equation with various degrees of nonlinearity

Nonlinear dynamical regimes of the generalized Kuramoto-Sivashinsky equation with various degrees of nonlinearity

The stabilizing effects of dispersion on the dynamics of the generalized Kuramoto equation with three different degrees of nonlinearity are considered. The second and third sections investigate the traveling wave reduction of the studied equation. The fourth section explores the changing dynamics of...

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Hauptverfasser: Lavrova, S. F., Kudryashov, N. A.
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Sprache:eng
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Liapunov exponents
Nonlinearity
Traveling waves
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creator Lavrova, S. F.
Kudryashov, N. A.
description The stabilizing effects of dispersion on the dynamics of the generalized Kuramoto equation with three different degrees of nonlinearity are considered. The second and third sections investigate the traveling wave reduction of the studied equation. The fourth section explores the changing dynamics of the generalized Kuramoto–Sivashinsky PDE by calculating its largest Lyapunov exponents over a range of values of the dispersion parameter.
doi_str_mv 10.1063/5.0081319
format Conference Proceeding
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1551-7616
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source AIP Journals Complete
subjects Liapunov exponents
Nonlinearity
Traveling waves
title Nonlinear dynamical regimes of the generalized Kuramoto-Sivashinsky equation with various degrees of nonlinearity
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