Some new nonlinear wave solutions and their convergence for the (2+1)-dimensional Broer-Kau-Kupershmidt equation.

We use the bifurcation method of dynamical systems to study the (2+1)-dimensional Broer-Kau-Kupershmidt equation. We obtain some new nonlinear wave solutions, which contain solitary wave solutions, blow-up wave solutions, periodic smooth wave solutions, periodic blow-up wave solutions, and kink wave solutions. When the initial value vary, we also show the convergence of certain solutions, such as the solitary wave solutions converge to the kink wave solutions and the periodic blow-up wave solutions converge to the solitary wave solutions. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]