In this research, the lump solution, which is rationally localized and decays along the directions of space variables, of a 2D Toda equation is studied. The effective method of constructing the lump solutions of this 2D Toda equation is derived, and the constraint conditions that make the lump solutions analytical and positive are obtained as well. Finally, three classes of lump solutions are constructed, 3D plots, density plots, and contour plots are given to illustrate this proposed method.

中文翻译：

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二维Toda方程的整体解

在这项研究中，研究了二维Toda方程的合理集中且沿着空间变量方向衰减的总解。推导了构造该二维Toda方程的整体解的有效方法，并获得了使整体解具有解析性和正性的约束条件。最后，构造了三类总解决方案，分别给出了3D图，密度图和轮廓图来说明该方法。