Multiwave interaction solutions for a (3+1)-dimensional nonlinear evolution equation

In this paper, by the direct algebraic method, together with the inheritance solving strategy, new types of interaction solutions among solitons, rational waves and periodic waves are constructed for a (3+1)-dimensional nonlinear evolution equation. Meanwhile, based on the simplified Hirota method, its interaction solutions among solitons, breathers and lumps of any higher orders are established by an N-soliton decomposition algorithm, together with the parameters conjugated assignment and long wave limit techniques. Finally, we demonstrate the dynamical behaviors of new interaction solutions by graphs.