All single travelling wave patterns to fractional Jimbo–Miwa equation and Zakharov–Kuznetsov equation

Abstract

By the complete discrimination system of polynomial method, we obtain the classification and representation of all single travelling wave solutions to \((3+1)\) -dimensional conformal fractional Jimbo–Miwa equation and fractional Zakharov–Kuznetsov equation. These solutions show rich evolution patterns of models described by these two equations.

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