Optical Solitons and Lie Symmetry Analysis of Kaupnewell Equation

Abstract

This manuscript is based on the Kaup-Newell equation, speci cally contemplated to be a kind of nonlinear Schrodinger equation. One of the frameworks derived from the well-known nonlinear Schrodinger equation is the KaupNewell equation which is one of the three derivative forms of the nonlinear Schrodinger equation that is frequently explored in nonlinear Optics. A systematic investigation of Lie symmetry method is pertained to derive the symmetry reductions of the given equation. By utilizing these symmetry reductions, the nonlinear Partial di erential equation are transformed into the Ordinary di erential equations. Consequently, the solutions are obtained with arbi trary parameters through various methods which are in the form of hyperbolic functions, rational functions and trigonometric functions.