Abstract
•Weakly dispersive prorogation of waves in theoretical physics.•We consider time fractional nonlinear Schrödinger equation .•We applied advance analytical and computational approaches.
In this manuscript, we study various forms of optical dromions (solitons) for a weak time fractional nonlinear Schrödinger equation (WTFNLSE) with parabolic law. We obtain various forms of solitons like as bright dromions, dromions wall, singular dromions of types 1 and 2, dark in the bright, combined dark bright solitons and periodic solution of types 1, 2 and 3 by using various ansatz approaches under some certain conditions. At the end we will also present our results graphically in different dimensions.