Lump solutions to the ()-dimensional Sawada-Kotera equation

In this paper, via generalized bilinear forms, we consider the ()-dimensional bilinear p-Sawada-Kotera (SK) equation. We derive analytical rational solutions in terms of positive quadratic functions. Through applying the dependent transformation, we present a class of lump solutions of the ()-dimensional SK equation. Those rationally decaying solutions in all space directions exhibit two kinds of characters, i.e., bright lump wave (one peak and two valleys) and bright-dark lump wave (one peak and one valley). In addition, we also obtain three families of bright-dark lump wave solutions to the nonlinear p-SK equation for .