Bright Soliton Solutions of the Coherently-Coupled Nonlinear Schrodinger Equations in Optical Fibers

摘要

In this paper we investigated the coherently-coupled nonlinear Schrodinger equations with mixed self-phase modulation, cross-phase modulation, and positive coherent coupling terms, which describe the propagation of orthogonally-polarized optical waves in an isotropic fiber. With the Hirota method and symbolic computation, bright one- and two-soliton solutions of the equations are derived. On the basis of those soliton solutions, soliton propagation and interaction are investigated via asymptotic analysis and graphical simulation. We find that the coupling coefficient r can only influence the soliton amplitude, but does not affect the soliton velocity or the soliton interaction. Through the analysis on the bright two-soliton solutions, two types of elastic interactions are displayed, i.e., head-on and overtaking elastic interactions.