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

abstract

  • © 2018, Editura Academiei Romane. All rights reserved. This paper addresses N-coupled nonlinear Schrödinger’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.

author list (cited authors)

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

publication date

  • January 2018