Binary Darboux Transformation, Solitons and Periodic Waves for a Nonlocal Lakshmanan-Porsezian-Daniel Equation

In this paper, a nonlocal Lakshmanan-Porsezian-Daniel equation is investigated with the help of the binary Darboux transformation (DT) method and asymptotic analysis. We derive the formulas of the Nth-order solutions through the binary DT, where N is a positive integer. Under certain conditions, the first-order periodic wave and soliton solutions are obtained, e.g., degenerate solitons, dark-dark solitons, bright-bright solitons and dark-bright solitons. Interactions between/among the dark solitons, bright solitons and periodic wave are discussed and graphically illustrated