title: Modulation instability and solitons on a cw background in an optical fiber with higher-order effects.
abstract: We construct the Lax pair for a higher-order nonlinear Schrödinger equation that includes terms accounting for the third-order dispersion, the self-steepening effect, and the delayed nonlinear response effect. Two exact analytic solutions that describe (i) modulation instability and (ii) soliton propagation on a continuous wave background are obtained by using the Darboux transformation. In addition, we analyze the amplification-absorption and quintic nonlinearity effects on the second solution in the adiabatic approximation.
authors.affiliation: Department of Electronics and Information Technology, Shanxi University, Taiyuan 030006, China. xuzy@mail.sxu.edu.cn
authors.forename: Zhiyong
authors.initials: Z
authors.lastname: Xu
authors.forename: Lu
authors.initials: L
authors.lastname: Li
authors.forename: Zhonghao
authors.initials: Z
authors.lastname: Li
authors.forename: Guosheng
authors.initials: G
authors.lastname: Zhou