In this paper, we provide a comprehensive tutorial, including the fundamental mathematical analysis, on the characteristics of the optical fiber channel, the origin of the Kerr nonlinearity effect, the theory of the pulse propagation in the optical fiber, and the numerical and. In this paper, we provide a comprehensive tutorial, including the fundamental mathematical analysis, on the characteristics of the optical fiber channel, the origin of the Kerr nonlinearity effect, the theory of the pulse propagation in the optical fiber, and the numerical and. For these reasons, nonlinear effects due to fiber nonlinearities often have substantial effects. This is particularly the case if fibers are used to transmit short pulses, and in fiber amplifiers for short pulses. From a fiber nonlinearity point of view, 20 5Gb/s channels is a better choice than 10 10Gb/s channels to achieve a 100Gb/s system. They are mainly classified into two categories: One is the nonlinear effect caused by scattering, such as stimulated Raman. Abstract—In this paper, we investigate and assess the performance of intra-channel nonlinearity compensation (IC-NLC) in long-haul coherent optical transmission systems with a symbol rate of 200 GBaud and beyond. We first evaluate the potential gain of ideal IC-NLC in 4 THz systems by estimating. Fiber Kerr nonlinearity compensation using digital signal processing (DSP) techniques has been well investigated over several years.