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\begin{document}

\title{Different wave structures for a new extended shallow water wave equation
in (3+1) dimension}



\author[1]{Jian-Guo Liu}%
\author[2]{Wen-Hui Zhu}%
\affil[1]{Jiangxi University of Chinese Medicine}%
\affil[2]{Jiang Xi University of Traditional Chinese Medicine}%


\vspace{-1em}



  
  \date{May 25, 2024}


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\begin{abstract}
In this work, a new extended shallow water wave equation in (3+1)
dimensions is studied, which represents abundant physical meaning in
nonlinear shallow water wave. We discuss the interaction between lump
wave and single solitary wave, which is an inelastic collision. Further,
the interaction between lump wave and two solitary waves, and the
interaction between lump wave and periodic wave are also studied.
Finally, the interaction among lump, periodic and one solitary waves is
investigated. The dynamic properties of the obtained results are shown
and analyzed by some three-dimensional images.%
\end{abstract}%



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