Optical solitons: Mathematical model and simulations

Optical solitons travel in nonlinear dispersive optical fiber that can mathematically modeled by forced nonlinear Schrödinger Equation (fNLS). A precise numerical simulation is employed to simulate optical solitons travel based on the mathematical model equation modeled in ideal lossless fiber and fiber loss. The outcomes from simulations further clarify the effects of fiber loss during transmission of signal which distorted the balanced effects between self-phase modulation (SPM) and group velocity dispersion (GVD) in nonlinear optical fiber with fiber. Furthermore, the outcomes have met the agreement with the simulation done by engineering software.