# GLie: a MAPLE program for lie supersymmetries of Grassmann-valued differential equations

## Description

Abstract A MAPLE program, named GLie, has been developed to compute the determining equations of nonlinear systems of both conventional and Grassmann-valued partial differential equations. The program is the outcome of an extension of the Lie symmetry method for Grassmann-valued partial differential equations. The capabilities of the program are described through a variety of physical examples. Title of program: GLie Catalogue Id: ADEP_v1_0 Nature of problem The construction of the Lie symmetry superalgebra of a system of Grassmann-valued differential equations (SGVDE) is a first step in the resolution of such a system. The next step would be the use of symmetry reduction method to get a simpler system which could be solved easily. Versions of this program held in the CPC repository in Mendeley Data ADEP_v1_0; GLie; 10.1016/S0010-4655(96)00129-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)