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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>12/1991
<mark>Journal</mark>Journal of Symbolic Computation
Issue number6
Number of pages13
Pages (from-to)655-667
Publication StatusPublished
<mark>Original language</mark>English


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-Kähler theory, and may be used to analyse partial differential equations by formulating them as exterior differential systems.