Abundant excited optical breathers for a nonlinear Schr?dinger equation with variable dispersion and nonlinearity terms in inhomogenous fiber optics

摘要

Under investigation is a nonlinear Schr?dinger equation with variable dispersion and nonlinearity coefficients in inhomogenous fiber optics. Through extending Darboux transformation method, an analytic breather solution with two free functions is obtained for the first time. Furthermore, abundant optical breather structures can be excited by setting the variable coefficient functions. Linear, periodic, V-type, U-type and S-type breather structures are observed and demonstrated. These breathers are novel and interesting.