LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR (2+1)-DIMENSIONAL COUPLED TIME-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS

Lie symmetry analysis is used to solve coupled time-fractional nonlinear Schrödinger equations. Having established the Lie point symmetries of the original equations, they are reduced to nonlinear fractional ordinary differential equations. Exact solutions are found and then subjected to in-depth convergence analysis. Also, conservation laws for the coupled time-fractional nonlinear Schrödinger equations are derived systematically by leveraging the powerful Ibragimov method.