Lie Symmetry Analysis and Exact Solutions to N -Coupled Nonlinear Schr?dinger's Equations with Kerr and Parabolic Law Nonlinearities

摘要

This paper addresses N -coupled nonlinear Schro?dinger’s equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exactsolutions.