Optical solitons of Lakshmanan-Porsezian-Daniel model with a couple of nonlinearities

The aim of this article is to present exact optical solutions of three forms of Lakshmanan-Porsezian-Daniel model. They are the Kerr law, parabolic law and anti-cubic law nonlinearity. The sine-Gordon expansion method is applied to extract exact optical solutions. It is shown that Sine-Gordon expansion method provides us with a powerful mathematical tool for solving nonlinear partial differential equations in mathematical physics.