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Solving the \((2+1)\)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method. (English) Zbl 1049.35157

Summary: The (2 + 1)-dimensional higher order Broer-Kaup system is reduced to a simple nonlinear partial differential equation by a transformation, and utilizing tanh-function method we obtain many new exact solutions for the (2 + 1)-dimensional higher order Broer-Kaup system.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
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