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
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002021
