CTE Solvability and Exact Solution to the Broer-Kaup System

A consistent tanh expansion (CTE) is used to solve the Broer—Kaup (BK) system. It is proved that the BK system is CTE solvable. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves, error function waves and any Burgers waves are explicitly given.