Lie Symmetry Classification and Qualitative Analysis for the Fourth-Order Schrodinger Equation

Paliathanasis, Andronikos; Leon, Genly; Leach, Peter G. L.


The Lie symmetry analysis for the study of a 1 + n fourth-order Schrodinger 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 Schrodinger equation. Then, a qualitative analysis allows for the reduced ordinary differential equation to be analysed to understand the asymptotic dynamics.

Más información

Título según WOS: ID WOS:000851824900001 Not found in local WOS DB
Título de la Revista: MATHEMATICS
Volumen: 10
Número: 17
Editorial: MDPI
Fecha de publicación: 2022


Notas: ISI