Analytical study of solitons for Lakshmanan-Porsezian-Daniel model with parabolic law nonlinearity

This paper retrieves new solitary wave solutions to the Lakshmanan-Porsezian-Daniel model with parabolic law nonlinearity. The modified trail equation method is used to get dark soliton, rational function and periodic solutions. We also use improved (G′/G)-expansion method to obtain exact and traveling wave solutions.