Re: Lie symmetry package in mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg9486] Re: Lie symmetry package in mathematica
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Sat, 8 Nov 1997 23:04:20 -0500
- Organization: University of Western Australia
- Sender: owner-wri-mathgroup at wolfram.com
Lucian Anton wrote: > Could someone tell me if the there is any free package for Lie symmetry > of the partial differential equations? A search on MathSource <http://www.mathsource.com/> for Lie AND symmetry finds Lie Symmetries The purpose of this program is to derive the determining equations for Lie-point symmetries. The determining equations are derived in a form simplified as far as possible. The program allows an automatic solution of the determining equations by using a polynomial ansatz in the dependent and independent variables. If the infinitesimals (symmetries) of the symmetry transformation is known, a classification of the related Lie-algebra is possible. The Lie-algebra is directly related to the symmetry group of the equations that can be used to construct an explicit solution of the equations of motion considered. Lie's symmetry method is usable to construct solutions for linear and especially for nonlinear systems of differential equations. The program also provides a classification of the Lie-algebra by derived algebras. URL: http://www.mathsource.com/cgi-bin/MathSource/Applications/Mathematics/0202-622 Cheers, Paul ____________________________________________________________________ Paul Abbott Phone: +61-8-9380-2734 Department of Physics Fax: +61-8-9380-1014 The University of Western Australia Nedlands WA 6907 mailto:paul at physics.uwa.edu.au AUSTRALIA http://www.pd.uwa.edu.au/~paul God IS a weakly left-handed dice player ____________________________________________________________________