Wave interaction for the (2+1)-dimensional Benjamin–Bona–Mahony–Burgers (BBMB) equation

In this paper, a rational explicit variable separation solution with two arbitrary functions for the (2+1)-dimensional Benjamin–Bona–Mahony–Burgers (BBMB) equation is derived by means of the projective Riccati approach. With the help of symbolic computation system Mathematica, some oscillating solitons like rogue-wave and fractal-type breather structure are presented, and several soliton localized excitations are constructed. The evolution properties of elastic and inelastic collision of these localized structures are discussed in several figures.