1-Soliton Solution of the Nonlinear Schrödinger’s Equation with Kerr Law Nonlinearity Using Lie Symmetry Analysis

摘要

This paper obtains the 1-soliton solution of the nonlinear Schrödinger’s equation in a Kerr law media. The technique that is used to carry out the integration of this equation is the Lie symmetry analysis. Keywords Solitons - Lie symmetry - Kerr law