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The Symbolic Integration of Exact PDEs

✍ Scribed by Thomas Wolf

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
247 KB
Volume
30
Category
Article
ISSN
0747-7171

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✦ Synopsis

An algorithm is described which decides if a given polynomial differential expression βˆ† of multivariate functions is exact, i.e. whether there exists a first integral P such that DxP = βˆ† for any one x of a set of n variables and to provide the integral P . A generalization is given to allow integration in the case that the exactness is prevented by terms which contain only functions of less than n independent variables.

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