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Dynamical features of the generalized Kuramoto-Sivashinsky equation

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  • Kudryashov, N.A.
  • Lavrova, S.F.

Abstract

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.

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  • Kudryashov, N.A. & Lavrova, S.F., 2021. "Dynamical features of the generalized Kuramoto-Sivashinsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308948
    DOI: 10.1016/j.chaos.2020.110502
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    References listed on IDEAS

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    1. Hereman, Willy & Nuseir, Ameina, 1997. "Symbolic methods to construct exact solutions of nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 13-27.
    2. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
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    Cited by:

    1. Zheng, Hang & Xia, Yonghui, 2024. "Persistence of solitary wave solutions for the delayed regularized long wave equation under Kuramoto–Sivashinsky perturbation and Marangoni effect," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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