Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations

摘要

Nonlinear models of fractional order have elaborately been taken place in the research field for their importance bearing the significant roles to depict the interior mechanisms of complicated phenomena belonging to the nature. This present exploration deals with the competent approach namely rational (G'/G)-expansion scheme to extract accurate wave solutions of two arbitrary order nonlinear Schrodinger models. The implementation of the advised technique combining with Cole-Hopf transformation purvey a heap of wave solutions in appropriate form. The achieved solutions are presented graphically in contour shape as well as in three- and two-dimensional frames. The wave structures in various profiles such as periodic, kink, anti-kink, bell, anti-bell, compacton etc. are appeared. The gained solutions are compared with the previous established results to exhibit diversity and novelty. The governing models are interesting and significant as they are related to logarithm law, Kerr law media, saturable law, triple-power law, dual-power law, power law and polynomial law.