New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp‐Function Method

Abstract

We construct new analytical solutions of the (3 + 1)‐dimensional modified KdV‐Zakharov‐Kuznetsev equation by the Exp‐function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp‐function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher‐dimensional nonlinear partial differential equation.