Controllable soliton and breather interactions for fifth-order variable coefficient nonlinear Schrödinger equation in optical fibers

Abstract

In this article, we investigate fifth-order variable coefficient nonlinear Schr¨odinger equation, which govern optical pulse in fiber optics and obtain soliton and breather solutions by applying Darboux transformation. Soliton and breather are responsible for data transmission over the long distance without loss of power. In optical fibers, control soliton and breather interactions have important application in signal processing and transmission. In solutions, With different values of coefficients of dispersion we obtain parabolic, cubic and periodical oscillating soliton. By controlling spectral parameter ?, we obtain different types of interactions like head on, overtaking and parallel on soliton. The effects of coefficients of dispersion and spectral parameter ? on the pattern of breather also presented.