Differential Geometric Computations and Computer Algebra

P.K.H. Gragert; P.H.M. Kersten

doi:10.1016/S0895-7177(97)00055-1

Differential Geometric Computations and Computer Algebra

P.K.H. Gragert, P.H.M. Kersten

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

The use of computer algebra in the field of differential geometry and its applications to geometric structures of partial differential equations is discussed. The differential geometric setting is shortly described; a number of programs are slightly touched, some examples given, and an application to the construction of supersymmetric extensions of the Korteweg-de Vries equation is demonstrated.

Original language	English
Pages (from-to)	11-24
Number of pages	14
Journal	Mathematical and computer modelling
Volume	25
Issue number	25
DOIs	https://doi.org/10.1016/S0895-7177(97)00055-1
Publication status	Published - 1997

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title = "Differential Geometric Computations and Computer Algebra",

abstract = "The use of computer algebra in the field of differential geometry and its applications to geometric structures of partial differential equations is discussed. The differential geometric setting is shortly described; a number of programs are slightly touched, some examples given, and an application to the construction of supersymmetric extensions of the Korteweg-de Vries equation is demonstrated.",

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AU - Gragert, P.K.H.

AU - Kersten, P.H.M.

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AB - The use of computer algebra in the field of differential geometry and its applications to geometric structures of partial differential equations is discussed. The differential geometric setting is shortly described; a number of programs are slightly touched, some examples given, and an application to the construction of supersymmetric extensions of the Korteweg-de Vries equation is demonstrated.

U2 - 10.1016/S0895-7177(97)00055-1

DO - 10.1016/S0895-7177(97)00055-1

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VL - 25

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JO - Mathematical and computer modelling

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Differential Geometric Computations and Computer Algebra

Abstract

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