Highly dispersive optical solitons in polarization–preserving fibers with Kerr law nonlinearity by Lie symmetry

Abstract The concept of highly dispersive (HD) optical solitons was first introduced during 2019 and has become extremely popular and has gained a lot of attention in the fibre optics community. We will study the problem with the aid of Lie symmetry analysis which is a very powerful mathematical scheme to handle differential equations that typically arise in nonlinear physics.