Painleve analysis and special solutions of generalized Broer-Kaup equations

The (1 + 1)-dimensional Broer-Kaup system which describes the propagation of shallow water waves is extended to a generalized (2 + 1) -dimensional model with Painleve property. Some special exact solutions are obtained by using the truncated Painleve expansion. The generalized (2 + 1)-dimensional Broer-Kaup system also possesses quite rich localized excitations as other well-known (2 + 1)-dimensional integrable models. Especially, the elastic (pass through) interaction property without phase shift for two ring type solitons is graphically exhibited. (C) 2002 Elsevier Science B.v. All rights reserved.