Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method

In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation. This method is a powerful tool for obtaining exact traveling wave solutions of nonlinear evolution equation. Many exact traveling wave solutions of nonlinear modified Zakharov–Kuznetsov equation are constructed which contain soliton and periodic solutions. The results reveal that the method is very effective and simple

In this paper, the following (n +1)-dimensional sinh-cosh-

Abstract: By using the first integral method, an exact wave solution to the (n +1)-dimensional sinh-cosh-Gordon equation has been obtained directly. The first integral method is easier and quicker than other traditional techniques. It is shown that the first integra