Solving the exact solution to the modified Zakharov-Kuznetsov equation by using the trial equation method

Abstract The exact solution of the nonlinear development equation can describe the actual physical phenomenon more accurately, so it is particularly important to study the exact solution of the nonlinear development equation. In this paper, we use the trial equation method and the polynomial complete discriminant system to find modified Zakharov-Kuznetsov equation exact solutions. We will discuss 9 cases in total and ultimately arrive at 18 solutions.