Singular and dark optical solitons to the well posed Lakshmanan-Porsezian-Daniel model

This paper scrutinizes dark, singular and periodic singular solitons to the well posed Lakshmanan Porsezian Daniel model to study the soliton propagation in nonlinear optics. Three types of nonlinear media namely, Kerr, parabolic and anti cubic law nonlinearity are investigated. The versatile integration gadget, modified simple equation method, is employed in this work. A number of constraint relations emerge to guarantee the existence of these soliton solutions.