University of Tabriz Computational Methods for Differential Equations 2345-3982 10 3 2022 07 01 An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity 701 715 13737 10.22034/cmde.2021.46753.1964 EN Thilagarajah Mathanaranjan Department of Mathematics and Statistics University of Jaffna, Sri Lanka. Journal Article 2021 06 30 In the present study, we investigate the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with three different laws of nonlinearity namely, parabolic law, quadratic-cubic law, and weak non-local law. This model governs the propagation of solitons through nonlinear optical fibers. An effective approach namely, the exp(−Φ(ξ)) expansion method is applied to construct some new soliton solutions of the governing model. Consequently, the dark, singular, rational and periodic solitary wave solutions are successfully revealed. The comparisons with other results are also presented. In addition, the dynamical structures of obtained solutions are presented through 3D and 2D plots.  https://cmde.tabrizu.ac.ir/article_13737_caa76f157322df873d12722c0dad339c.pdf