The aim of this paper is to study new exact solutions Davey–Stewartson–Kadomtsev–Petviashvili (DSKP) equation. We use modified tanh method along associated with new Ricatti equation. The results are demonstrated for specific values of parameters, which show periodic singular as well as nonsingular solitons for specific values of parameters. Some solutions are plotted and presented in 3D and density graphs. The Mathematica are used for computation and simulations of the results, respectively.