Under investigation is a completely generalized Hirota–Satsuma–Ito equation in (2 + 1)-dimensional. Multiple lump solutions are obtained based on three test functions, including 1-, 2- and 3-order lump solutions. Subsequently, the interaction between lump wave and solitary waves, and the interaction solution between lump wave and periodic wave are studied by using the bilinear form. Final, the stability and phase velocity are investigated. In order to analyze the dynamic behavior of these solutions, some 3D plots and contour plots are given by Mathematica.

中文翻译：

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完全广义的 Hirota-Satsuma-Ito 方程的不同波结构

正在研究的是一个完全广义的（2 + 1）维的 Hirota-Satsuma-Ito 方程。基于三个测试函数获得多个块解，包括1阶、2阶和3阶块解。随后，利用双线性形式研究了团波与孤立波的相互作用，以及团波与周期波的相互作用解。最后，研究稳定性和相速度。为了分析这些解的动态行为，Mathematica 给出了一些 3D 图和等高线图。