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    Article

    Solitary waves of the fractal Whitham–Broer–Kaup equation in shallow water

    In the current work, we propose the fractal Whitham–Broer–Kaup equation which can well describe the propagation of shallow water travelling along unsmooth boundary (such as the fractal seabed). By the Semi-inv...

    Yan-Hong Liang, Guo-Dong Wang, Kang-Jia Wang in GEM - International Journal on Geomathemat… (2021)

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    Article

    On a variational principle for the fractal Wu–Zhang system arising in shallow water

    The flow of the shallow water of the harbor can be described by the classic Wu–Zhang system. However when the the boundary (such as the coastline) is non-smooth, it becomes invalid. So we modify the classic Wu...

    Yan-Hong Liang, Kang-Jia Wang in GEM - International Journal on Geomathematics (2021)