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.
Ming Song. Zhengrong Liu. "Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation." J. Appl. Math. 2012 1 - 25, 2012. https://doi.org/10.1155/2012/363879