Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Journal of Computing, Vol. 1, No 4, (2007), 505p-518p
Abstract:
A MATHEMATICA package for finding Lie symmetries of
partial differential equations is presented. The package is designed to create
and solve the associated determining system of equations, the full set of
solutions of which generates the widest permissible local Lie group of point
symmetry transformations. Examples illustrating the functionality of the
package's tools are given. The results of the package application to performing
a full Lie group analysis of coupled nonlinear Schrödinger equations from
nonlinear fiber optics are presented. Comparisons with earlier published
computer algebra implementations of the Lie group method are discussed.
Description:
The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006
