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  • © 2009

Differential Equations - Geometry, Symmetries and Integrability

The Abel Symposium 2008

Part of the book series: Abel Symposia (ABEL, volume 5)

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Table of contents (16 chapters)

  1. Front Matter

    Pages 1-12
  2. Some Canonical Structures of Cartan Planes in Jet Spaces and Applications

    • R. J. Alonso, S. Jimènez, J. Rodríguez
    Pages 1-20
  3. Transformations of Darboux Integrable Systems

    • Ian M. Anderson, Mark E. Fels
    Pages 21-48
  4. On Rank Problems for Planar Webs and Projective Structures

    • Vladislav V. Goldberg, Valentin V. Lychagin
    Pages 75-106
  5. Niceness Theorems

    • Michiel Hazewinkel
    Pages 107-150
  6. A Bridge Between Lie Symmetries and Galois Groups

    • Nail H. Ibragimov
    Pages 159-172
  7. Hamiltonian Structures for General PDEs

    • P. Kersten, I. S. Krasil′shchik, A. M. Verbovetsky, R. Vitolo
    Pages 187-198
  8. Classification of Monge–Ampeère Equations

    • Alexei G. Kushner
    Pages 223-256
  9. Geometric Aspects of the Quantization of a Rigid Body

    • M. Modugno, C. Tejero Prieto, R. Vitolo
    Pages 275-285
  10. Shooting for the Eight

    • Richard Moeckel
    Pages 287-310
  11. Contact Geometry of Second Order I

    • Keizo Yamaguchi
    Pages 335-386

About this book

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories.

This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.

Editors and Affiliations

  • Dept. Mathematics & Statistics, University of Tromsoe, Tromsoe, Norway

    Boris Kruglikov, Valentin Lychagin

  • of Science and Technology, Norwegian University, Trondheim, Norway

    Eldar Straume

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access