Time dependent solutions for fractional coupled Schrödinger equations

Numerical treatments of the nonlinear coupled time‐fractional Schrödinger equations

“…Wang and Li 10 introduced a conservative Galerkin spectral scheme based on the Legendre spectral Galerkin scheme and the Crank‐Nicolson scheme to obtain the numerical solution of the coupled space‐NLFSEs. In Lenzi et al, 11 the authors examined time‐dependent solutions of the coupled Schrödinger fractional equations for certain classes of independent potential in real time.…”

“…The coupling system Schrödinger is used for the design of a dispersive, conservative system of two interacting nonlinear packets. Several methods were used to solve Schrödinger's coupled nonlinear system, see previous studies 1–11 . The fractional form of Schrödinger equations plays a significant role in quantum mechanics 12 .…”

“…Several methods were used to solve Schrödinger's coupled nonlinear system, see previous studies. [1][2][3][4][5][6][7][8][9][10][11] The fractional form of Schrödinger equations plays a significant role in quantum mechanics. 12 It is worth noting that it is exceedingly difficult and, in most situations, almost impossible to obtain analytical solutions for nonlinear fractional Schrödinger equations.…”