In this paper, we gave a form of rational solution and their interaction solution to a nonlinear evolution equation. The rational solution contained lump solution, general lump solution, high-order lump solution, lump-type solution, etc. Their interaction solution contained the classical interaction solution, such as the lump-kink solution and the lump-soliton solution. As the example, by using the generalized bilinear method and symbolic computation Maple, we obtained abundant high-order lump-type solutions and their interaction solutions between lumps and other function solutions under certain constraints of the ()-dimensional Jimbo-Miwa equation. Via three-dimensional plots, contour plots and density plots with the help of Maple, the physical characteristics and structures of these waves are described very well. These solutions have greatly enriched the exact solutions of the ()-dimensional Jimbo-Miwa equation on the existing literature.

中文翻译：

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（）维Jimbo-Miwa方程的有理解及其相互作用解

在本文中，我们给出了非线性发展方程的一种有理解及其相互作用解的形式。有理溶液包括团块溶液，一般团块溶液，高阶团块溶液，团块型溶液等。它们的相互作用溶液包括经典的相互作用溶液，例如团块解和团孤子溶液。例如，通过使用广义双线性方法和符号计算Maple，我们在（）的某些约束下获得了丰富的高阶集型解以及集与其他函数解之间的相互作用解。） -Jimbo-Miwa维方程 通过Maple的三维图，轮廓图和密度图，可以很好地描述这些波的物理特征和结构。这些解决方案大大丰富了（）-现有文献中的三维Jimbo-Miwa方程。