Differential Equations - Geometry, Symmetries and Integrability

The Abel Symposium 2008

  • Boris Kruglikov
  • Valentin Lychagin
  • Eldar Straume

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

Table of contents

  1. Front Matter
    Pages 1-12
  2. R. J. Alonso, S. Jimènez, J. Rodríguez
    Pages 1-20
  3. Ian M. Anderson, Mark E. Fels
    Pages 21-48
  4. Vladislav V. Goldberg, Valentin V. Lychagin
    Pages 75-106
  5. Michiel Hazewinkel
    Pages 107-150
  6. Nail H. Ibragimov
    Pages 159-172
  7. P. Kersten, I. S. Krasil′shchik, A. M. Verbovetsky, R. Vitolo
    Pages 187-198
  8. Alexei G. Kushner
    Pages 223-256
  9. M. Modugno, C. Tejero Prieto, R. Vitolo
    Pages 275-285
  10. Richard Moeckel
    Pages 287-310
  11. Keizo Yamaguchi
    Pages 335-386

About this book

Introduction

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.

Keywords

algebra differential equation equivalence integrability invariance mathematical physics measure partial differential equation quantization symmetry

Editors and affiliations

  • Boris Kruglikov
    • 1
  • Valentin Lychagin
    • 2
  • Eldar Straume
    • 3
  1. 1.Dept. Mathematics & StatisticsUniversity of TromsoeTromsoeNorway
  2. 2.Dept. Mathematics & StatisticsUniversity of TromsoeTromsoeNorway
  3. 3.of Science and TechnologyNorwegian UniversityTrondheimNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-00873-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-00872-6
  • Online ISBN 978-3-642-00873-3
  • About this book