Solitary wave solution of the Zakharov–Kuznetsov equation in plasmas with power law nonlinearity

Abstract In this paper, we obtain an exact 1-soliton solution of the Zakharov–Kuznetsov equation, with power law nonlinearity, by the solitary wave ansatz method. A couple of conserved quantities of this equation are also calculated by using this 1-soliton solution.

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