Investigation of W and M shaped solitons in an optical fiber for eighth order nonlinear Schrödinger (NLS) equation

In an optical fiber, we report on our study of pulse compression using an analytical method. A significant role for the eighth order nonlinear Schr & ouml;dinger (NLS) equation may be seen in the study of ultra-short pulses, in particular extremely nonlinear optical phenomena. As a result of our study, which plays a significant role in reviving potent mathematical procedures, such as the extended rational sinh-cosh method for obtaining the dark soliton solution and the cosine method for solving the NLS equation to attain M-shaped, W-shaped soliton structure, dark and bright solitonic structure. Solitons are shown to have a strictly chirp-free structure, which facilitates effective compression. According to the results, wavevector may effectively regulate the shape and propagation behavior of soliton.