Exact and numerical traveling wave solutions of Whitham–Broer–Kaup equations

Abstract

In this paper, we find the explicit and numerical traveling wave solutions of Whitham–Broer–Kaup (for short WBK) equations, which contain blow-up solutions and periodic solutions, by using the decomposition method. By using this method, the solutions were calculated in the form of a convergent power series with easily computable components. The convergence of the method as applied to the Whitham–Broer–Kaup equations is illustrated numerically.