A constructive implementation of the Cartan-Kähler theory of exterior differential systems

Authors:
David Hartley;Robin W. Tucker
Affiliations:
School of Physics and Materials, Lancaster University, Lancaster LA1 4YB, UK;School of Physics and Materials, Lancaster University, Lancaster LA1 4YB, UK
Venue:
Journal of Symbolic Computation
Year:
1991

Citing 0
Cited 4

Determination of maximal symmetry groups of classes of differential equations

ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Cartan's Characters and Stairs of Characteristic Sets

AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Cited References

Computer algebra handbook
Involution analysis for nonlinear exterior differential systems

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

An efficient algorithm for the construction of a regular chain of involutive integral elements for a general exterior differential system is presented. It is based upon the existence theorems of the Cartan-Kahler theory, and may be used to analyse partial differential equations by formulating them as exterior differential systems.