Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation

The ${\mathcal{C}}^{\mathrm{\infty }}$-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov–Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods.