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An Efficiency Improved Program Liepde for Determining Lie-Symmetries of PDES

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Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

Abstract

A REDUCE program LIEPDE to formulate and automatically solve conditions for determining Lie-symmetries of PDE-systems is described and examples with timings are given. Mainly responsible for the improved efficiency are two modules of the REDUCE package CRACK, which is used to solve the symmetry conditions. These modules integrate exact PDEs and perform a generalized separation.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences Queen Mary and Westfield College, University of London, London, E1 4NS

    Thomas Wolf

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  1. Thomas Wolf
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Catania, Catania, Italy

    N. H. Ibragimov , M. Torrisi  & A. Valenti ,  & 

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© 1993 Springer Science+Business Media Dordrecht

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Wolf, T. (1993). An Efficiency Improved Program Liepde for Determining Lie-Symmetries of PDES. In: Ibragimov, N.H., Torrisi, M., Valenti, A. (eds) Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2050-0_40

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  • DOI: https://doi.org/10.1007/978-94-011-2050-0_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4908-5

  • Online ISBN: 978-94-011-2050-0

  • eBook Packages: Springer Book Archive

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