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Computer Algebra in the Theory of Ordinary Differential Equations of Halphen Type

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Computers and Mathematics

Abstract

We present an algorithm for solving linear differential equations in spectral parameter of Halphen type. The integrability condition of the pair of equations of Halphen type gives the large family of nonlinear differential equations of Lax-Novikov type. This algorithm is implemented on the basis of the computer algebra system REDUCE.

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Author information

Authors and Affiliations

  1. Laboratory of Computing Techniques and Automation, Joint Institute for Nuolear Research, Head Post Office, P.O. Box 79, 101000, Moscow, USSR

    V. F. Gerdt & N. A. Kostov

Authors
  1. V. F. Gerdt
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  2. N. A. Kostov
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Rensselaer Polytechnic, Troy, NY, 12180, USA

    Erich Kaltofen

  2. IBM Watson Research Center, Yorktown Heights, NY, 10598, USA

    Stephen M. Watt

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© 1989 Springer-Verlag New York Inc.

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Gerdt, V.F., Kostov, N.A. (1989). Computer Algebra in the Theory of Ordinary Differential Equations of Halphen Type. In: Kaltofen, E., Watt, S.M. (eds) Computers and Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9647-5_32

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  • DOI: https://doi.org/10.1007/978-1-4613-9647-5_32

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97019-6

  • Online ISBN: 978-1-4613-9647-5

  • eBook Packages: Springer Book Archive

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