Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs

@inproceedings{Lisle1995AlgorithmicDO,
  title={Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs},
  author={Ian G. Lisle and Gregory J. Reid and A. Boulton},
  booktitle={ISSAC},
  year={1995}
}
We describe a method which uses a finite number of differentiations and linear operations to determine the Cartan structure coefficients of a structurally transitive Lie pseudogroup from its infinitesimal defining equations. If the defining system is of first order and the pseudogroup has no scalm invariants, the structure coefficients can be simply extracted from the coefficients of the infinitesimal system, We give an algorithm which reduces the higher order case to the first order case. The… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-6 of 6 references

Geometry and struc- ture of Lie pseudogroups from in nitesimal de ning systems

I. G. Lisle, G. J. Reid
IAM Report 94-13, Univ. of British Columbia • 1994
View 7 Excerpts
Highly Influenced

The in nite groups of Lie and Cartan. I. The transitive groups

I. M. Singer, S. Sternberg
J. d'Analyse Math • 1965
View 7 Excerpts
Highly Influenced

The long guide to the Standard Form package. Code and documen- tation by anonymous ftp to math.ubc.ca in directory /pub/reid/standardform

G. J. Reid, A. D. Wittkopf
1993
View 3 Excerpts
Highly Influenced

Symmetries and Di erential Equations

G. W. Bluman, S. Kumei
1989
View 4 Excerpts
Highly Influenced

Application of Lie groups to di eren- tial equations

P. J. Olver
1986
View 4 Excerpts
Highly Influenced

On the local theory of continuous in nite pseudo-groups

M. Kuranishi
II. Nagoya Math. J • 1961
View 4 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…