Our work aims to investigate new solutions for the (3 + 1)-dimensional Extended Date–Jimbo–Kashiwara–Miwa Equation which characterize the physical phenomena owing to the inhomogeneities of media. By using the Hirota—method with the aid of a quadratic test function, we derived a new Lump—soliton solution that localized in all directions in space and time. A class of 1-soliton solution and more-soliton solution are explored using the improved tanh–coth method and the improved tan–cot method. The sequel in these solutions demonstrate a valuation of physical phenomenon. Two, three-dimensional, contour and density plots are presented to illustrate the behaviors of the solitons.

我们的工作旨在研究（3 +1）维扩展日期–金博–喀什瓦拉–米瓦方程的新解决方案，该方程描述了由于介质的不均匀性而引起的物理现象。通过使用Hirota方法（借助二次检验功能），我们得出了一种新的Lump-孤子解决方案，该解决方案在空间和时间的各个方向上都具有局限性。使用改进的tanh-coth方法和改进的tan-cot方法探索了一类1-孤子解和更多孤子解。这些解决方案的续集证明了对物理现象的评估。给出了二维，等高线和密度图，以说明孤子的行为。