New families of exact soliton-like solutions and dromion solutions to the (2+1)-dimensional higher-order Broer-Kaup equations

Using homogeneous balance method we obtain Backlund transformation (BT) and a linear partial differential equation of higher-order Broer-Kaup equations. As a result, new soliton-like solutions and new dromion solution and other exact solutions of (2 + 1)-dimensional higher-order Broer-Kaup equations are given. By analyzing a soliton-like solution, we get some dromions solutions. This method, which can be generalized to some (2 + 1)-dimensional nonlinear evolution equations, is simple and powerful. (C) 2004 Elsevier Ltd. All rights reserved.