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Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. (English) Zbl 0969.76517
Summary: In this Letter, four pairs solutions of Whitham-Broer-Kaup (WBK) equations, which contain blow-up solutions and periodic solutions, are obtained by using of hyperbolic function method, Mathematica and Wu elimination method. The method can also be applied to solve more nonlinear partial differential equation or equations.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35L05 Wave equation
35L60 First-order nonlinear hyperbolic equations
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References:
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