

General Description  
Since September 2004, I have been developing software for analysis of point symmetries and conservation laws of any given system of Ordinary or Partial Differential Equations, with minimal human intervention. Maple pas been chosen as a symbolic platform. The GeM software is designed to automate generation of determining equations and related operations, in order to compute symmetries and conservation laws for any ODE/PDE system, generally without limitations in DE order and number of variables. ODE/PDE systems containing arbitrary functions and/or constants can be analyzed, and classes of functions for which additional symmetries / conservation laws occur can be isolated. GeM output (determining equations) is usually fed to Maple "rifsimp" (a highly stable routine for differential reduction) which simplifies determining equations (and performs case splits when the given system contains arbitrary functions and/or constants.) GeM also contains special routines to output computed symmetries as well as fluxes/densities of computed conservation laws. Licensing: The GEM module is free for all research or study purposes. However I ask that a proper reference is made in any work that uses it. Appropriate references:


Current version: 032.12 *Hay River Island* <><  
Download:

Maple version compatibility:

Current capabilities:

Computation examples: (use "save as" when downloading)

Bugs/problems of GeM


Maple version compatibility notes and GeM program run issues.  


Future plans:  
Some time in the future, I plan to implement:


Good luck!  
