Abstract
This paper secures bright soliton solution to the Lakshmanan-Porsezian-Daniel equation that serves as an alternate model for describing soliton propagation dynamics along optical fibers. The two types of nonlinear media are studied. They are Kerr law and power law. The semi-inverse variational principle is adopted in this paper. The solitons appear with a number of constraint relations that must remain valid for their existence.