Optical Rogue Wave Excitation and Modulation on a Bright Soliton Background**Supported by the National Natural Science Foundation of China under Grant Nos 11475135 and 11547302, and the Doctoral Program Funds of the Ministry of Education of China under Grant No 20126101110004.

Abstract

We study rogue waves in an inhomogeneous nonlinear optical fiber with variable coefficients. An exact rogue wave solution that describes rogue wave excitation and modulation on a bright soliton pulse is obtained. Special properties of rogue waves on the bright soliton, such as the trajectory and spectrum, are analyzed in detail. In particular, our analytical results suggest a way of sustaining the peak shape of rogue waves on the soliton background by choosing an appropriate dispersion parameter.