new analytical method based on Riccati equation for finding Soliton solutions of Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation

Abstract

In this present study analytical method based on Riccati Equation as for converting the Nonlinear Lakshmanan-Porsezian-Daniel (LPD) equation into the nonlinear ODE and finding soliton solutions of this sustem discused. Obtaining solutions are new and obtained from wave transformation. The obtained results show that the presented method is effective and appropriate for solving nonlinear differential equations.