DOI: 10.36347/sjpms.2022.v09i07.002

Pages: 109-121

Since the (3+1)-dimensional modified Korteweg de Vries- Zakharov–Kuznetsov (mKdV-ZK equation) was proposed, many methods have been used to find its exact solution, but some solutions are always missed in the calculation process. In this paper, the mKdV-ZK equation is studied by the planar dynamical systems method, the bifurcation diagram and phase diagram under different parameters are obtained, and the solution of the equation is numerically simulated. Finally, the traveling wave solutions of the mKdV-ZK equation is constructed under different parameters.