Abstract In this paper, the extended Boiti–Leon–Manna–Pempinelli equation (eBLMP) is first proposed, and by Ma’s [1] method, a class of lump and lump–kink soliton solutions is explicitly generated by symbolic computations. The propagation orbit, velocity and extremum of the lump solutions on (x,y) plane are studied in detail. Interaction solutions composed of lump and kink soliton are derived by means of choosing appropriate real values on obtained parameter solutions. Furthermore, 3-dimensional plots, 2-dimensional curves, density plots and contour plots with particular choices of the involved parameters are depicted to demonstrate the dynamic characteristics of the presented lump and lump–kink solutions for the potential function v = 2ln( f(x))x.

中文翻译：

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扩展 Boiti-Leon-Manna-Pempinelli 方程的块和块-扭结孤子解

摘要 本文首先提出了扩展的 Boiti-Leon-Manna-Pempinelli 方程 (eBLMP)，并通过 Ma 的 [1] 方法，通过符号计算显式地生成了一类块和块-扭结孤子解。详细研究了块解在(x,y)平面上的传播轨道、速度和极值。通过在得到的参数解上选择合适的实值，推导出由块状孤子和扭结孤子组成的相互作用解。此外，还描述了 3 维图、2 维曲线、密度图和等高线图，其中包含特定选择的相关参数，以演示所提出的块和块扭结解的动态特性，用于势函数 v = 2ln( f( x)) x。