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Exact Solutions and Conservation Laws of the Bogoyavlenskii Equation

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Inc M., Hashemi M., Isa Aliyu A.
Acta Physica Polonica A
|
2018
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vol. 133
|
issue 5
1133-1137
EN
In this paper, the Lie symmetry analysis method is performed for a Bogoyavlenskii equation. The symmetries and exact invariant solutions for the equation are retrieved for the first time. The conservation laws of the Bogoyavlenskii equation are constructed using the conservation laws theorem introduced by Ibragimov.
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New Applications of the (G'/G,1/G)-Expansion Method

100%
Inan I., Ugurlu Y., Inc M.
Acta Physica Polonica A
|
2015
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vol. 128
|
issue 3
245-251
EN
In this paper, we study general solutions of the new fifth order nonlinear evolution and the Burgers KP equations with the aid of the two variables (G'/G,1/G)-expansion method. The kink, bell-shaped solitary wave, periodic and singular periodic solutions are obtained. Finally, the numerical simulations add to these obtained solutions.
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