title: Self-similar evolutions of parabolic, Hermite-Gaussian, and hybrid optical pulses: Universality and diversity.
abstract: Three novel types of self-similar solutions, termed parabolic, Hermite-Gaussian, and hybrid pulses, of the generalized nonlinear Schrödinger equation with varying dispersion, nonlinearity, and gain or absorption are obtained. The properties of the self-similar evolutions in various nonlinear media are confirmed by numerical simulations. Despite the diversity of their formations, these self-similar pulses exhibit many universal features which can facilitate significantly the achievement of well-defined linearly chirped output pulses from an optical fiber, an amplifier, or an absorption medium, under certain parametric conditions. The other intrinsic characteristics of each type of self-similar pulses are also discussed.
authors.affiliation: Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China. cshua@mail.edu.cn
authors.forename: Shihua
authors.initials: S
authors.lastname: Chen
authors.forename: Lin
authors.initials: L
authors.lastname: Yi
authors.forename: Dong-Sheng
authors.initials: DS
authors.lastname: Guo
authors.forename: Peixiang
authors.initials: P
authors.lastname: Lu