Solitary wave, lump and their interactional solutions of the (3+1)-dimensional nonlinear evolution equation

In this paper, we study exact solutions of the (3 + 1)-dimensional nonlinear evolution equation including soliton solutions, fusional solutions, lump solutions and their interactional solutions. From the bilinear form, we get N-soliton solutions. For special parameters, we find three fusional solutions. Via the long wave limit method, we obtain M-lump solutions from 2M-soliton solutions. We also study interactional solutions which describe interactions of a lump and a soliton, a lump and two solitons, a lump and fusional solitary waves. The properties of obtained exact solutions are analyzed graphically and theoretically by using asymptotic analysis in details.