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 Schrödinger (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.