Pure-cubic optical soliton perturbation with full nonlinearity by a new generalized approach

Abstract

This work introduces a new generalized integration scheme to construct the pure-cubic optical solitons in a polarization-preserving fiber with Kerr law nonlinearity. First, Lie symmetry analysis is performed to find the similarity transformation. Then, the exact solutions of the governing equation are derived via a purposed new generalized integration scheme. In particular, we have derived the pure-cubic dark, singular and combo dark-singular soliton solutions. The existence criteria of such solutions are also provided.