Optical solitons in (n + 1) dimensions with Kerr and power law nonlinearities

Abstract

The paper studies the dynamics of optical solitons in [Formula: see text]-dimensional nonlinear Schrödinger equation with Kerr and power law nonlinearities that describe the propagation of light pulses in optical fibers. First time the dark and singular optical solitons are extracted in [Formula: see text] dimensions. The [Formula: see text]-expansion scheme is used to analyze these solutions. Additionally, the constraint conditions for the existence of the solutions are also listed. However, the scheme fails to retrieve the bright soliton.