Dynamics of switching optical soliton in fiber with sixth order dispersion and inter modal dispersion

Abstract

This work pertaining to the study of switching soliton in fiber for nonlinear Schr¨odinger (NLS) equation with the presence of higher order dispersion and inter modal dispersion (IMD). The nonlinear wave in the optical fiber are described by the NLS equation which having the second order, fourth order, fifth order, sixth order dispersion, higher order nonlinearity and IMD. The main goal of the paper is to examine the sixth order dispersion on nonlinear wave in the fiber with the conditions of IMD. Hence, we employ the B¨acklund transformation of the Riccati equation (BTRE) approach to NLS equation and obtain the soliton solution. By the use of soliton solution along with graphical snapshots, we provide the conditions for forming switching solition in optical fiber and also analysis the effect of sixth order dispersion in fiber. The stability of the solution of NLS equation is also addressed.