Advertisement

Table of contents

  1. Front Matter
  2. R. K. Bullough, Yu-zhong Chen, S. Olafsson, J. Timonen
    Pages 12-26
  3. M. Boiti, J. JP. Leon, L. Martina, F. Pempinelli
    Pages 31-48
  4. J. G. Caputo, A. C. Newell, M. Shelley
    Pages 49-64
  5. Anthony P. Csizmazia
    Pages 82-86
  6. B. M. Herbst, Mark J. Ablowitz
    Pages 192-206
  7. M. J. Landman, B. J. LeMesurier, G. C. Papanicolaou, C. Sulem, P. L. Sulem
    Pages 207-217
  8. Curtis R. Menyuk
    Pages 218-231
  9. G. Reinisch, J. C. Fernandez
    Pages 232-260
  10. Jean-Claude Saut
    Pages 295-311
  11. Back Matter

About these proceedings

Introduction

In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable equations. The more physical lectures center largely around the three paradigmatic equations: Korteweg de Vries, Sine-Gordon and Nonlinear Schrödinger, especially the latter. These have long been of great mathematical interest, and also exhibit a "universality" which places them among the most frequently encountered integrable equations in the description of physical systems. Tidal waves, optical fibers and laser beams are among the topics discussed. Lectures are also devoted to multidimensional solitons, integrability of Hamiltonian systems of ODEs and dissipative systems of PDEs.

Keywords

Cauchy problem Dirac equation Minkowski spacetime chaos crystal hamiltonian system hyperbolic equation integrable system operator scattering scattering theory schrödinger equation schrödinger operator soliton stability

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0035656
  • Copyright Information Springer-Verlag 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51615-6
  • Online ISBN 978-3-540-46714-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
Industry Sectors
Electronics
IT & Software
Consumer Packaged Goods
Aerospace