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Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the bifurcation and stability of trivial stationary solution (0,0) of coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-type equations (KS-GL) on a bounded domain (0,L) with Neumann's boundary conditions.
The asymptotic behavior of the trivial solution of the equations is considered.
With the length L of the domain regarded as bifurcation parameter, branches of nontrivial solutions are shown by using the perturbation method.
Moreover, local behavior of these branches is studied, and the stability of the bifurcated solutions is analyzed as well.
American Psychological Association (APA)
Shi, Lei. 2013. Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-508698
Modern Language Association (MLA)
Shi, Lei. Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-508698
American Medical Association (AMA)
Shi, Lei. Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-508698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508698