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Manuscript Title: A REDUCE program for the integration of differential polynomials. | ||

Authors: A.H. Bilge | ||

Program title: INTEG | ||

Catalogue identifier: ACJG_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 71(1992)263 | ||

Programming language: Reduce. | ||

Operating system: DOS 5.0. | ||

Keywords: Integration, Conserved densities, Computer algebra. | ||

Classification: 5. | ||

Nature of problem:The study of the conserved densities and symmetries of polynomial evolution equations leads to the integration of polynomial expressions of the derivatives of certain functions. Actually differential polynomials have a unique decomposition as "total derivatives" and "functional differential monomials" and integration means finding this decomposition. This cannot be acheived with the standard packages of symbolic programming languages. | ||

Solution method:In the program INTEG, integrations by parts are applied iteratively to differential monomials, starting from the ones involving highest derivatives, in such a way that either the order or the nonlinearity of the derivatives in the integrand is strictly decreasing. | ||

Restrictions:The expressions to be integrated should be differential polynomials. | ||

Unusual features:None. | ||

Running time:A few seconds to 1-2 minutes. |

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