The \((3+1)\) -dimensional chiral nonlinear Schrödinger equation (chiral NLSE) under the conformable time-fractional derivative of order \(\tau \in (0,1]\) is investigated analytically. Applying two complementary frameworks Wang’s direct mapping method and the generalized projective Riccati equation method to the conformable traveling-wave reduction, we derive eighteen distinct exact closed-form solutions encompassing bright solitons, dark solitons, kink-type structures, singular solitons, and periodic trigonometric wave trains. All solutions are verified by direct substitution into both the reduced ODE and the original PDE. Two- and three-dimensional graphical analyses demonstrate that decreasing \(\tau\) below unity produces systematic lateral displacement of soliton peaks and angular redistribution of wave energy, while leaving soliton amplitudes and widths unchanged establishing \(\tau\) as a velocity-control parameter. Temporal stability is confirmed graphically over extended propagation intervals. The directional asymmetry induced by the chiral nonlinear coupling, visible in polar representations, distinguishes these solutions physically from those of the standard isotropic NLSE. The results are relevant to chiral optical fibers, quantum Hall edge states, and Bose–Einstein condensates in optical lattices.
