LIE SYMMETRY REDUCTION FOR (2+1)-DIMENSIONAL FRACTIONAL SCHRÖDINGER EQUATION
This study investigates Lie symmetry analysis, exact solutions, and conservation laws for a (2+1)-dimensional fractional Schrödinger equation. The original equations have been reduced to 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 Ibragimov theorem.
Authors
- Xiufang Feng
- Shangqin He (ORCID: https://orcid.org/0000-0001-5764-9917)
- Panpan Wang (ORCID: https://orcid.org/0000-0002-5056-6075)
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2025-01-01
- DOI
- https://doi.org/10.11948/20240133
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00