In this article, we elucidate the dynamical behavior of exact solitary waves to the conformable 3D Wazwaz-Benjamin- Bona-Mahony (3D-WBBM) equation emerging in shallow water waves. A variety of nonlinear dynamical solitary wave structures are extracted in different shapes like hyperbolic, trigonometric, and exponential function solutions including some special known solitary wave solution like bell shaped, shock, singular and multiple soliton by an analytical mathematical tool namely the generalized exponential rational function method (GERFM). Besides, we also secure singular periodic wave solutions with unknown parameters. All the secured solutions are verified by substituting back to the original equation through soft computation Mathematica. The outcomes show that the governing model theoretically possesses extremely rich structures of exact solitary wave solutions. The physical characterization of some reported results are figured out graphically in 3D, 2D and their corresponding contour profiles by selecting appropriate values of parameters.

在本文中，我们向在浅水波中出现的顺应性3D Wazwaz-Benjamin-Bona-Mahony（3D-WBBM）方程阐明了精确的孤立波的动力学行为。通过解析数学工具，即广义指数有理函数，提取了各种形式的非线性动力孤立波结构，如双曲线，三角函数和指数函数解，其中包括一些特殊的已知孤波解，如钟形，冲击，奇异和多孤子。方法（GERFM）。此外，我们还保护参数未知的奇异周期波解。通过使用软计算Mathematica代回原始方程，可以验证所有受保护的解决方案。结果表明，控制模型理论上具有精确的孤立波解的极其丰富的结构。通过选择适当的参数值，可以在3D，2D及其对应的轮廓图中以图形方式找出一些报告结果的物理特征。