Abstract:
In the present study, we investigate the conformable space-time fractional cubic-quartic nonlinear Schr¨odinger
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.
