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.
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