The Lie symmetry analysis for the study of a 1+n fourth-order Schrödinger equation inspired by modification deformation algebra in presence minimum length is applied. Specifically, we perform detailed classification scalar field potential function where non-trivial symmetries exist and simplify equation. Then, qualitative allows reduced ordinary differential to be analysed understand asymptotic...

The symmetry group method is important and widely used in the reduction and construction of explicit solutions of PDEs (partial differential equations). As shown in [1 – 4], the Lie symmetry group method can be used to find explicit solutions of PDEs using symmetry reduction and construction. This method is known as the classical method. By a classical symmetry group of a system of PDEs we mean...