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Zbl 1080.35080
Chen, Yong; Wang, Qi; Li, Biao
Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations. (English)
[J] Chaos Solitons Fractals 26, No. 1, 231-246 (2005). ISSN 0960-0779

From the summary: We apply the so-called elliptic equation rational expansion method to solve the Whitham-Broer-Kaup equation $$u_t+ uu_x+ v_x+ \beta u_{xx}=0, \quad v_t+(uv)_x+ \alpha u_{xxx}-\beta v_{xx}= 0$$ and explicitly construct a series of exact solutions which include rational solitary wave solutions, rational triangular periodic wave solutions and rational wave solutions as special cases

MSC 2000:: *35Q35 Other equations arising in fluid mechanics
35C05 Solutions of PDE in closed form
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: solitary wave solution; triangular periodic wave solutions; rational wave solutions

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