to the three dimensional modified Zakharov–Kuznetsov equation’s new model. Four distinct
and impressive techniques are used for this target, which are the extended simple
equation method (ESEM), the extended direct algebraic method (EDAM), the G
G —
expansion method and the Paul-Painleve approach method (PPAM). The four suggested
techniques are discovered recently to derive the exact solutions for many other NLPDE that
arising in various branches of science and usually give good results. These techniques have
been used for the first time to extract the soliton solutions of this model. The four employed
methods are applied serially and in the same time. Our solutions weren’t achieved previously
via any other authors who applied any other methods