Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

الملخص EN

We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation.

A number of explicit periodic wave solutions are obtained.

These solutions contain smooth periodic wave solutions and periodic blow-up solutions.

Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.