Published January 2021 | Version v1
Journal article Metadata-only

Dynamical features of the generalized Kuramoto-Sivashinsky equation

Creators

  • 1. Department of Applied Mathematics, National Research Nuclear University MEPHI, 31 Kashirskoe Shosse, Moscow, 115409 (Russian Federation)

Description

The stabilizing effects of dispersion on the dynamics of the generalized Kuramoto-Sivashinsky equation at various degrees of nonlinearity are considered in this paper. The second and third sections investigate properties of the traveling wave reduction of the Kuramoto-Sivashinsky equation. In the fourth section the changing dynamics of the generalized KuramotoSivashinsky PDE is explored by calculating the largest Lyapunov exponents over a range of values of the dispersion parameter.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2020.110502

Additional details

Identifiers

DOI
10.1016/j.chaos.2020.110502;
PII
S0960077920308948;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
142
Journal Page Range
vp.
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53100232
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
LYAPUNOV METHOD; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; TRAVELLING WAVES
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS

Optional Information

Copyright
Copyright (c) 2020 Elsevier Ltd. All rights reserved.