Solutions of Zakharov-Kuznetsov equation with power law nonlinearity in (1+3) dimensions |
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Authors: | B T Matebese A R Adem C M Khalique A Biswas |
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Institution: | (2) Department of Mathematics, Firat University, Elazig, Turkey; |
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Abstract: | 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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