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

Proceedings of the International Workshop Acireale, Catania, Italy, October 27–31, 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. N. H. Ibragimov

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

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  2. M. Torrisi

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

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  3. A. Valenti

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

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Table of contents (41 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Hidden and Nonlocal Symmetries of Nonlinear Differential Equations

    • B. Abraham-Shrauner, A. Guo
    Pages 1-5

  3. Internal Symmetries of Differential Equations

    • Ian Anderson, Niky Kamran, Peter J. Olver
    Pages 7-21

  4. Examples of Completely Integrable Bateman Pairs

    • Robert L. Anderson, Piotr W. Hebda, Guy Rideau
    Pages 23-33

  5. Group Method Analysis of the Dispersion of Gaseous Pollutants in the Presence of a Temperature Inversion

    • N. A. Badran, M. B. Abd-El-Malek
    Pages 35-41

  6. Applications of the Generalized Symmetry Method

    • G. Baumann
    Pages 43-53

  7. Conformal Invariance, Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations

    • Yu. Yu. Berest, N. H. Ibragimov, A. O. Oganesyan
    Pages 55-69

  8. Potential Symmetries and Equivalent Conservation Laws

    • George Bluman
    Pages 71-84

  9. Some Remarks on A Class of Ordinary Differential Equations: The Riccati Property

    • Sandra Carillo, Benno Fuchssteiner
    Pages 85-92

  10. Differential-Algebraic and Differential-Geometric Approach to the Study of Involutive Symbols

    • Giuseppa Carrà-Ferro, Sergei V. Duzhin
    Pages 93-99

  11. The Bihamiltonian Approach to Integrable Systems

    • Paolo Casati, Franco Magri, Marco Pedroni
    Pages 101-110

  12. Conservation Laws in Dissipative Solids

    • Giacomo Caviglia, Angelo Morro
    Pages 111-123

  13. Exact Solutions of the Boltzmann Equation

    • C. Cercignani
    Pages 125-136

  14. Einstein Equations with 1 Parameter Spacelike Isometry Group

    • Yvonne Choquet-Bruhat
    Pages 137-145

  15. Lie Point Symmetries and Dynamical Systems

    • G. Cicogna
    Pages 147-153

  16. Symmetries of the Nonlinear Heat Equation

    • Peter A. Clarkson, Elizabeth L. Mansfield
    Pages 155-171

  17. Symmetries of Time Dependent Hamiltonian Systems

    • A. Dewisme, S. Bouquet, P. G. L. Leach
    Pages 173-179

  18. Quasilinear Hyperbolic Systems: Reduction to Autonomous Form and Wave Propagation

    • Andrea Donato, Francesco Oliveri
    Pages 181-189

  19. Finite Difference Models Entirely Inheriting Symmetry of Original Differential Equations

    • V. A. Dorodnitsyn
    Pages 191-201

  20. Boundary Condition Invariance

    • M. J. Englefield
    Pages 203-208
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Keywords

About this book

On the occasion of the 150th anniversary of Sophus Lie, an International Work­ shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily, October 27­ 31, 1992). The Workshop was aimed to enlighten the present state ofthis rapidly expanding branch of applied mathematics. Main topics of the Conference were: • classical Lie groups applied for constructing invariant solutions and conservation laws; • conditional (partial) symmetries; • Backlund transformations; • approximate symmetries; • group analysis of finite-difference equations; • problems of group classification; • software packages in group analysis. The success of the Workshop was due to the participation of many experts in Group Analysis from different countries. This book consists of selected papers presented at the Workshop. We would like to thank the Scientific Committee for the generous support of recommending invited lectures and selecting the papers for this volume, as well as the members of the Organizing Committee for their help. The Workshop was made possible by the financial support of several sponsors that are listed below. It is also a pleasure to thank our colleague Enrico Gregorio for his invaluable help of this volume.

Editors and Affiliations

  • Department of Mathematics, University of Catania, Catania, Italy

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

Bibliographic Information

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

  • Book Subtitle: Proceedings of the International Workshop Acireale, Catania, Italy, October 27–31, 1992

  • Editors: N. H. Ibragimov, M. Torrisi, A. Valenti

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

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1993

  • Hardcover ISBN: 978-0-7923-2480-5Published: 30 September 1993

  • Softcover ISBN: 978-94-010-4908-5Published: 13 October 2012

  • eBook ISBN: 978-94-011-2050-0Published: 27 June 2011

  • Edition Number: 1

  • Number of Pages: XI, 393

  • Topics: Algebra, Group Theory and Generalizations, Theoretical, Mathematical and Computational Physics, Partial Differential Equations

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