Bifurcations of travelling wave solutions for the generalized Kadomtsev–Petviashili equation

By using the theory of bifurcations of dynamical systems to the generalized Kadomtsev–Petviashili equation, the existence of solitary wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.