Rogue waves for the optical fiber system with variable coefficients

The rogue waves are investigated in the generalized nonlinear optical fiber system, which is modelled as a generalized variable coefficient Schrödinger equation distributed with two group velocity dispersion functions and a nonlinearity function. The rogue wave solutions are constructed via similarity transformation. Furthermore, the first- and second-order rogue waves are excited via choosing group velocity dispersion coefficients as specific function. The rogue waves exhibit abundant characteristics in shape, amplitude, peak number and stretch, while the rogue waves also are controllable through the system parameters. The results reveal partially the formation mechanism of the optical rogue waves under variable group velocity dispersion.