Lie symmetry classification and qualitative analysis for the fourth-order Schr\"{o}dinger equation
Mathematical Physics
2022-05-31 v1 Analysis of PDEs
math.MP
Abstract
The Lie symmetry analysis for the study of a fourth-order Schr\"{o}dinger equation inspired by the modification of the deformation algebra in the presence of a minimum length is applied. Specifically, we perform a detailed classification for the scalar field potential function where non-trivial Lie symmetries exist and simplify the Schr\"{o}dinger equation. Then, a qualitative analysis allows for the reduced ordinary differential equation to be analyzed to understand the asymptotic dynamics.
Keywords
Cite
@article{arxiv.2205.14873,
title = {Lie symmetry classification and qualitative analysis for the fourth-order Schr\"{o}dinger equation},
author = {A. Paliathanasis and G. Leon and P. G. L. Leach},
journal= {arXiv preprint arXiv:2205.14873},
year = {2022}
}
Comments
19 pages, no figures