A variety of solitons to the sixth-order dispersive [formula omitted]-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities

Abstract

This study examines the exact soliton solutions under the effect of cubic-quintic-septic nonlinearities for a sixth-order (3+1)-dimensional nonlinear time-fractional Schrödinger equation with fourth-order and sixth-order dispersive terms. We apply the generalized Riccati equation mapping method and the modified Kudryashov method to obtain the dark soliton, singular, periodic, and other soliton-type solutions. To determine the bright solition, other singular and periodic solutions, ansatz method is employed. The results obtained can help to understand the dynamics of waves in a cubic-quintic-septic nonlinear material.