In this study, lump and two classes of interaction, multi-stripe, and breather wave solutions for the (3+1)-dimensional generalized shallow water equation are presented via the Hirota bilinear method. Interaction solutions are found between one-lump and one-stripe, and one-lump and two-stripes solutions by combining a quadratic function and an exponential function, and a quadratic function and a hyperbolic cosine or double exponential functions, respectively. Dynamical behaviours of some obtained valid solutions are presented through some graphs. The physical interpretation of fission-fusion dynamics is also explained graphically through lump-kink interaction solutions. During the fission-fusion interaction process, it is seen that stripe solitons split into a stripe and a lump soliton, and then the lump and stripe solitons fuse together. During this process, a rogue wave is found between one lump and twin stripes soliton at $t=0.$ Furthermore, multi-stripe and breather wave solutions are investigated by choosing the appropriate functions and the values for the free parameters. The multi-stripe waves are found to be nonsingular and rectangular hyperbolic shaped. On the other hand, breather waves are found to be periodic, which can evolve periodically along a straight line in the xy-plane. The produced wave solutions might be helpful to understand the propagation behaviour of waves in shallow water.

在这项研究中，通过广田双线性方法给出了（3+1）维广义浅水方程的块和两类相互作用、多条纹和呼吸波解。通过将二次函数和指数函数以及二次函数和双曲余弦或双指数函数分别组合，在一次集和一条纹以及一集和二条纹解之间找到交互解。一些获得的有效解决方案的动态行为通过一些图表来呈现。裂变聚变动力学的物理解释也通过块状扭结相互作用解决方案以图形方式解释。在裂变-聚变相互作用过程中，可以看到条状孤子分裂成条状孤子和团状孤子，然后团状孤子和条状孤子融合在一起。$吨=\mathrm{0。}$此外，通过选择适当的函数和自由参数的值来研究多条纹和呼吸波解决方案。发现多条纹波是非奇异的矩形双曲线形状。另一方面，呼吸波被发现是周期性的，它可以沿着 xy 平面中的直线周期性地演化。产生的波浪解可能有助于理解波浪在浅水中的传播行为。