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.