Application of the variational iteration method to the Whitham-Broer-Kaup equations

Explicit traveling wave solutions including blow-up and periodic solutions of the Whitham-Broer-Kaup equations are obtained by the variational iteration method. Moreover, the results are compared with those obtained by the Adomian decomposition method, revealing that the variational iteration method is superior to the Adomian decomposition method. (C) 2007 Elsevier Ltd. All rights reserved.