Superposition Formulas and Evolution Behaviors of Multi-Solutions to the (3+1)-Dimensional Generalized Shallow Water Wave-like Equation

The superposition formulas of multi-solutions to the (3+1)-dimensional generalized shallow water wave-like Equation (GSWWLE) are proposed. There arbitrary test functions in mixed solutions and interaction solutions, we sum any N terms. By freely selecting positive integer N, have obtained abundant for GSWWLE. First, introduced new between two multi-kink solitons, were through symbolic computation. Next, constructed multi-localized wave which N-even power functions. Finally, novel multi-arbitrary function GSWWLE obtained. evolution behaviors shown 3D, contour density plots. received results immensely enriched exact available literature.