Travelling wave solutions for modified Zakharov-Kuznetsov equation

By using the theory of bifurcations of dynamical systems to the modified Zakharov-Kuznetsov equation which describes wave propagation in isothermal multicomponent magnetized plasmas, numbers of solitary waves and periodic waves and kink waves are obtained. Under various parameter conditions, all explicit formulas of solitary waves solutions, periodic waves solutions and kink waves solutions are given.