Optical solitons for Lakshmanan–Porsezian–Daniel equation with Kerr law non-linearity using improved [Formula presented]-expansion technique

Abstract

The Lakshmanan–Porsezian–Daniel (LPD) equation, with spatio-temporal dispersion as well as group velocity dispersion, is investigated to retrieve new optical solitons. Abundant bright, dark, singular, kink and periodic optical solitons solutions of the LPD equation are constructed for Kerr law of non-linearity by improved [Formula presented] method. Some of the obtained solutions are graphically illustrated using 3D-surface plots and the corresponding 2D-contour plots. The novelty of the constructed solutions is established by comparison of the obtained results with the results available in the literature for LPD equation which shows the effectiveness of the improved [Formula presented] method.