DocumentCode
3029366
Title
Bifurcations of travelling wave solutions for the ZK-MEW equation
Author
Li Hong ; Sun Shaorong ; Kanming, Wang
Author_Institution
Coll. of Manage., Shanghai Univ. of Sci. & Technol., Shanghai, China
fYear
2011
fDate
26-28 July 2011
Firstpage
249
Lastpage
253
Abstract
By using the bifurcation theory of dynamical systems to the Zakharov-Kuznetsov-Modified Equal-Width (ZK-MEW) equation, we analysis all bifurcations and phase portraits in the parametric space, the existence of solitary wave solutions and uncountably infinite many smooth periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some explicit exact solution formulas are acquired for some special cases.
Keywords
bifurcation; wave equations; Zakharov-Kuznetsov-modified equal-width equation; bifurcation theory; dynamical system; infinite many smooth periodic wave solution; parametric space; phase portraits; solitary wave solution; travelling wave solution; Bifurcation; Cities and towns; Educational institutions; Mathematical model; Orbits; Sun; Periodic wave; Solitary wave; Zakharov-Kuznetsov-Modified Equal-Width equation; bifurcation theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002021
Filename
6002021
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