Wronskian solutions for the (3+1)-dimensional Wazwaz–Kaur–Boussinesq equation

The ($3+1$)-dimensional Wazwaz–Kaur–Boussinesq equation, which always describe shallow water wave interactions, is researched by the Wronskian technique. To guarantee the Wronskian determinant solves the objective equation in Hirota bilinear form, we construct some sufficient conditions consisting of linear differential equations. Based on the received Wronskian conditions, the general Wronskian solutions can be successfully derived. Choosing the matrix in the Wronskian conditions as diagonal or Jordan forms, three kinds of exact solutions including $N$-bright, $N$-dark solitons and rational solutions are skillfully reduced from the resulted general solutions.