A LOCAL ANALYSIS OF THE KOLMOGOROV-SPIEGEL-SIVASHINSKY EQUATION


UNAL G., SUHUBI E.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.30, ss.579-592, 1992 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 5
  • Basım Tarihi: 1992
  • Doi Numarası: 10.1016/0020-7225(92)90004-z
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Sayfa Sayıları: ss.579-592

Özet

Kolmogorov-Spiegel-Sivashinsky (KSS) equation arises in different two dimensional viscous flows. Kolmogorov flow and the large-scale turbulent solar convection can be modelled by this equation [Los Alamos Sci. Spec. Iss. 218 (1987); Nucl. Phys. B (Proc. Suppl.) 2, 453 (1987)]. In this article, we have studied the group invariant solutions to the KSS equation. Also, a local analysis of the dynamical system obtained by the group theoretical means are performed by employing normal form analysis. This approach allowed us to obtain in analytical form an approximate travelling wave solution possessing periodic, quasi-periodic and aperiodic features. Bifurcations pertaining to the latter have been identified.