Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation

In this paper, we study a (2+1)-dimensional Boussinesq type equation. By applying the Hirota direct method, lump and line rogue wave solutions are presented with the aid of symbolic computations. The solutions are expressed in terms of a set of restricted parameters with necessary and sufficient conditions that guarantee their existence. An interesting result is that when the parameters meet the rank requirement, we have lump solutions, otherwise, we may get line rogue waves.