Optical dark and dark-singular solitons with anti-cubic nonlinearity

This paper studies the dynamics of optical dark and dark-singular solitons for nonlinear Schrödinger equation under anti-cubic nonlinearity with extended direct algebraic method. The constraint conditions for the existence of optical dark and dark-singular solitons are also listed. Additionally, a couple of other solutions known as singular periodic, fall out as a by-product of this scheme.