Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation ut+au2+bu4ux+γuxxx+δuxyy=0.
We reveal four kinds of interesting bifurcation phenomena.
The first kind is that the low-kink waves can be bifurcated from the symmetric solitary waves, the 1-blow-up waves, the tall-kink waves, and the antisymmetric solitary waves.
The second kind is that the 1-blow-up waves can be bifurcated from the periodic-blow-up waves, the symmetric solitary waves, and the 2-blow-up waves.
The third kind is that the periodic-blow-up waves can be bifurcated from the symmetric periodic waves.
The fourth kind is that the tall-kink waves can be bifurcated from the symmetric periodic waves.
American Psychological Association (APA)
Wu, Yun& Zhengrong, Liu. 2013. Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-499986
Modern Language Association (MLA)
Wu, Yun& Zhengrong, Liu. Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation. Advances in Mathematical Physics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-499986
American Medical Association (AMA)
Wu, Yun& Zhengrong, Liu. Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-499986
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499986