Bifurcation of travelling wave solutions for the generalized KP-MEW equations

By using the theory of bifurcations of planar dynamical systems to the generalized KP-MEW equations, the existence of smooth and non-smooth travelling wave solutions is proved. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of the above waves are obtained.

► We investigate the generalized KP-MEW equation by using dynamic system method.
► The bifurcation of all travelling wave solutions is given.
► The existence of smooth and non-smooth travelling wave solutions is proved.
► We obtain some exact explicit parametric representations of the above waves.