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Application of the variational iteration method to the Whitham-Broer-Kaup equations. (English) Zbl 1138.76024
Summary: Using the variational iteration method, we obtain explicit traveling wave solutions of Whitham-Broer-Kaup equations including blow-up and periodic solutions. Moreover, the results are compared with those obtained by Adomian decomposition method, revealing that the variational iteration method is superior to Adomian decomposition method.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M30 Variational methods applied to problems in fluid mechanics
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