The article investigates the exact and mixed lump wave solitons to the (3+1)-dimensional potential YTSF equation, which is an extension of the Bogoyavlenskii-Schif equation. Different types of interaction solutions in terms of a new merge of positive quadratic functions, trigonometric functions and hyperbolic functions are obtained, which are investigated using the extended three soliton test approach. The dynamical behavior of solutions has also depicted in different 3D representations. The representations show that the soliton solutions are obtained in the form of train and cusp. Some other solutions like lamb wave with high peak, and lump solutions with kink background are also observed in these representations.

本文研究了到（3 + 1）维势YTSF方程的精确混合杂散孤子，它是Bogoyavlenskii-Schif方程的扩展。根据正二次函数，三角函数和双曲函数的新合并，获得了不同类型的交互解决方案，并使用扩展的三孤子测试方法对其进行了研究。解决方案的动态行为也以不同的3D表示形式进行了描述。这些表示表明，孤子解以火车和尖点的形式获得。在这些表示中，还观察到其他一些解决方案，例如具有高峰值的羔羊波和具有扭结背景的块解决方案。