Highly dispersive optical solitons with quadratic-cubic nonlinear refractive index by lie symmetry

This paper addresses highly dispersive optical solitons with quadratic-cubic nonlinear form of self-phase modulation. Lie symmetry analysis reduced the governing model to an ordinary differential equation which was further analyzed using two approaches. The series expansion approach and the F-expansion scheme yielded soliton solutions as well as an abundance of additional solutions to the model. The parameter restrictions were also enumerated to provide a formidable structure to the solutions.