Pure-cubic optical solitons to the Schrödinger equation with three forms of nonlinearities by Sardar subequation method
Khalida Faisal, Souleymanou Abbagari, Arash Pashrashid, Alphonse Houwe, Shao-Wen Yao, Hijaz Ahmad
Abstract
In this work, it is used three families of nonlinearities such as Kerr law, Power Law and Parabolic law over the High-order dispersive Nonlinear Schrödinger equation to inquire optical soliton solutions and diverse solutions by employing the Sardar Sub-equation method. Considering the constraint relation on some parameters of the NLSE, it is obtained bright and dark optical soliton solutions. However, under a certain condition on the method parameters, it is exposed singular soliton and trigonometric function solutions. More precisely, for ρ=a24b, a new form of the complex solutions are obtained. The obtained results are depicted in 2D and 3D to show out the peakon soliton in Figure 2 compared to Yıldırım et al. (2020); Zayed et al. (2020) and Rezazadeh et al. (2020). These results could probably give a new way for designing optical fibers devices to update the communication flux.