Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces

In this paper, new families of soliton-like solutions are obtained for (2+1)-dimensional integrable Broer-Kaup equations by using the symbolic computation method developed by Gao and Tian. Sample solutions obtained from these methods are presented. Solitary wave solutions are merely a special case in one family. The method can also be extended to other types of nonlinear evolution equations in mathematical physics.