Rogue wave and combined breather with repeatedly excited behaviors in the dispersion/diffraction decreasing medium

A (3+1)-dimensional coupled nonlinear Schrodinger equation with different inhomogeneous diffractions and dispersion is investigated, and rogue wave and combined breather solutions are constructed. Different diffractions and dispersion of medium lead to the repeatedly excited behaviors of rogue wave and combined breather in the dispersion/diffraction decreasing system. These repeated behaviors including complete excitation, rear excitation, peak excitation and initial excitation are discussed.