A LOCAL ANALYSIS OF THE KOLMOGOROV-SPIEGEL-SIVASHINSKY EQUATION

UNAL, G; SUHUBI, ES

doi:10.1016/0020-7225(92)90004-z

A LOCAL ANALYSIS OF THE KOLMOGOROV-SPIEGEL-SIVASHINSKY EQUATION

Atıf İçin Kopyala

UNAL G., SUHUBI E.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.30, sa.5, ss.579-592, 1992 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 30 Sayı: 5
Basım Tarihi: 1992
Doi Numarası: 10.1016/0020-7225(92)90004-z
Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.579-592
İstanbul Teknik Üniversitesi Adresli: Hayır

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.