Fissionable wave solutions, lump solutions and interactional solutions for the (2 + 1)-dimensional Sawada–Kotera equation

Abstract

Abstract In this paper, we consider fissionable wave solutions and lump solutions for the (2 + 1)-dimensional Sawada–Kotera equation via the Hirota bilinear form and the long wave limit method. We obtain two types of interactional solutions concluding the elastic interaction of a lump and a solitary wave and the elastic-fissionable-coexistence interaction of a lump and an ( N – 2)-fissionable wave.