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Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation. (English) Zbl 1195.35258

Summary: A series of complexiton solutions of the Whitham-Broer-Kaup equation are found through a multiple Riccati equations rational expansion method presented in this Letter. Many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rational function solutions, etc., are obtained.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
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