Lie symmetry analysis and exact solutions to N-coupled nonlinear Schrodinger’s equations with kerr and parabolic law nonlinearities

Abstract

This paper addresses N-coupled nonlinear Schrodinger'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 exact solutions.