Journal
PHYSICS OF WAVE PHENOMENA
Volume 19, Issue 2, Pages 148-154Publisher
ALLERTON PRESS INC
DOI: 10.3103/S1541308X11020117
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Funding
- NSF-CREST [HRD-0630388]
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This paper studies the Zakharov-Kuznetsov equation in (1+3) dimensions with an arbitrary power law nonlinearity. The method of Lie symmetry analysis is used to carry out the integration of the Zakharov-Kuznetsov equation. The solutions obtained are cnoidal waves, periodic solutions, singular periodic solutions, and solitary wave solutions. Subsequently, the extended tanh-function method and the G'/G method are used to integrate the Zakharov-Kuznetsov equation. Finally, the nontopological soliton solution is obtained by the aid of ansatz method. There are numerical simulations throughout the paper to support the analytical development.
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