Document Zbl 1406.35338

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New exact explicit nonlinear wave solutions for the Broer-Kaup equation. (English) Zbl 1406.35338

J. Appl. Math. 2014, Article ID 984791, 7 p. (2014).

Summary: We study the nonlinear wave solutions for the Broer-Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink-shaped solutions, most of which are new. Some previous results are extended.

Cited in 5 Documents

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35C05	Solutions to PDEs in closed form

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