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.
•We study HD solitons for Kerr law of nonlinear refractive index.•Lie symmetry analysis is made.•Conservation laws are constructed.