Optical solitons for Lakshmanan–Porsezian–Daniel model by modified simple equation method

The soliton solutions are extracted from the Lakshmanan–Porsezian–Daniel model by the aid of modified simple equation method. There are three forms of fibers that are studied and they represent Kerr law, parabolic law and anti-cubic law. The implementation of the scheme yields dark and singular soliton solutions to the model. The constraint conditions hold these solitons in place.