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The Broer-Kaup equation is one of many equations describing some phenomena of shallow water wave. There are many errors in scientific research because of the existence of the non-smooth boundaries. In this paper, we generalize the Broer-Kaup equation to the fractal space and establish fractal variational formulations through the semi-inverse method. The acquired fractal variational formulation reveals conservation laws in an energy form in the fractal space and suggests possible solution structures of the morphology of the solitary waves
PAPER REVISED: 2018-06-20
PAPER ACCEPTED: 2018-06-28
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THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2051 - 2056]
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