LIE SYMMETRY ANALYSIS AND EXACT SOLUTIONS TO <i>N</i>-COUPLED NONLINEAR SCHRODINGER'S EQUATIONS WITH KERR AND PARABOLIC LAW NONLINEARITIES

2018, Editura Academiei Romane. All rights reserved. This paper addresses N-coupled nonlinear Schrdingers 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.

Yildirim, Y., Yasar, E., Triki, H., Zhou, Q., Moshokoa, S. P., Ullah, M. Z., Biswas, A., & Belic, M.

Yildirim, Yakup||Yasar, Emrullah||Triki, Houria||Zhou, Qin||Moshokoa, Seithuti P||Ullah, Malik Zaka||Biswas, Anjan||Belic, Milivoj

LIE SYMMETRY ANALYSIS AND EXACT SOLUTIONS TO N-COUPLED NONLINEAR SCHRODINGER'S EQUATIONS WITH KERR AND PARABOLIC LAW NONLINEARITIES Academic Article