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<p>In this paper, the soliton and M-order lump solutions satisfying specific Wronskian conditions of the (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation are obtained. Firstly, the Nth-order wronskian determinant solutions of the (3 + 1)-dimensional BLMP equation are given. Then, the determinant of the M-order lump solutions is introduced by making elementary transformation and taking limit to 2Mth-order wronskian determinant solutions. Finally, the 1st-order, the 2nd-order and the 3rd-order lump solutions are constructed as examples, what’s more, we find that their interaction processes depend on free parameters, which affect the directions and velocities of motion. Their dynamical behaviors are studied by three-dimensional images and the corresponding contour plots with the help of Maple.</p>

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Lump solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Wronskian solutions

  • 期刊论文

  • 发表日期：

    2025年4月22日

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  • Lei Wang,
  • Yaning Tang

摘要

In this paper, the soliton and M-order lump solutions satisfying specific Wronskian conditions of the (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation are obtained. Firstly, the Nth-order wronskian determinant solutions of the (3 + 1)-dimensional BLMP equation are given. Then, the determinant of the M-order lump solutions is introduced by making elementary transformation and taking limit to 2Mth-order wronskian determinant solutions. Finally, the 1st-order, the 2nd-order and the 3rd-order lump solutions are constructed as examples, what’s more, we find that their interaction processes depend on free parameters, which affect the directions and velocities of motion. Their dynamical behaviors are studied by three-dimensional images and the corresponding contour plots with the help of Maple.