Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
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Moleleki, L.D.
Muatjetjeja, B.
Adem, A.R.
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Springer
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In this paper, we study a nonlinear evolution partial differential equation, namely the (3+1)-dimensional Zakharov-Kuznetsov equation. Kudryashov method together with Jacobi elliptic function method is used to obtain the exact solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation. Furthermore, the conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation are obtained by using the multiplier method.
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Moleleki, L.D. et al. 2017. Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation. Nonlinear Dynamics, 87:2187-2192. [https://link.springer.com/article/10.1007/s11071-016-3182-6]