Characteristics of rogue waves in nonlocal Lakshmanan–Porsezian–Daniel equation

Abstract In this paper, based on the Darboux transformation and the technique of separating variables, we construct rogue waves in the form of separating variables for the nonlocal Lakshmanan–Porsezian–Daniel equation the nonlocal reverse space with odd–even time symmetry. In addition, in order to give the reader a better understanding of the obtained solutions, the main dynamical evolution properties of the first and second order rogue wave solutions, which exhibit rich dynamical patterns, most of which do not have corresponding patterns in the corresponding local equations, are discussed in detail.