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Volume 15, Number 1, 2025, Pages -                                                                DOI:10.11948/JAAC-2024-0133
Lie symmetry reduction for (2+1)-dimensional fractional Schr?dinger equation
Panpan Wang
Keywords:Lie symmetry reduction  exact solutions  (2+1)-dimensional fractional Schr?dinger equation  convergence analysis  conservation laws
Abstract:
      This study investigates Lie symmetry reduction, exact solutions, and convergence analysis for (2+1)-dimensional fractional Schr?dinger equation. The original equations have been reduced to fractional fractional ODEs employing the obtained vector field. For the considered equation, exact solutions are also established. Furthermore, the resulting exact solutions are demonstrated for convergence. Conservation laws for this equation have been investigated employing the generalized Noether approach.
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