Abstract: By using the Hirota bilinear derivative method and the symbolic computation software Maple, the lump solution and the respiratory wave solution to the generalized (3+1)-dimensional shallow water wave equation were obtained. In combination with images, the dynamic properties (position, height, depth, velocity, and trajectory) of the lump-type soliton were studied. Finally, the interaction between different types of solutions were discussed, and it was found that lump-type solitons were phagocytosed by kink waves.

Key words: Hirota bilinear derivative method, lump solution, dynamic properties, breather solution, interaction phenomenon