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.