How to use Lie Groups in differential equation

> From: Joal Heagney
> 
> Hi all. I remember somebody saying in this news group that Lie Groups 
> (symmetry analysis) was a general purpose approach to solving 
> differential equations. I've been googling the web for a week now in 
> order to understand how this works, and now have a bit of an 
> understanding of what an algebra/group is (and specifically what Lie 
> algebras and groups are).
> 
> However, each time I try to understand how Lie algebra applies to 
> differential equations, I slam into a wall of mathematical symbolism.
> 
> My mathematics training is 1 1/2 years university level as part of a 
> bachelor of science, and then self-trained. I'm up to date on 
> differentiation, calculus, vectors, matrices, complex numbers and 
> quaternions, but I've had very little training in 
> mathematical symbolism.
> 
> So, does anyone have any links to free resources that covers 
> this topic 
> at a 2nd/3rd year university level? Preferably with some 
> worked examples? :)
> 
> Thank you,
> 
> Joal Heagney

Joal,

There is some code in share/contrib/diffequations that solves 
first order ODEs using Lie groups.  It works - most of the time
- but there are still some bugs to shake out.

Check out the references and the testsuites.


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