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Partially Intergrable Evolution Equations in Physics

  • Robert Conte
  • Nino Boccara

Part of the NATO ASI Series book series (ASIC, volume 310)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Waves in Physical Systems

  3. Instabilities and Defects

  4. Concepts of Integrability and Singularity Analysis

  5. Mathematical Methods

    1. Contributed Papers

  6. Back Matter
    Pages 595-605

About this book

Introduction

In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.

Keywords

Boundary value problem Operator Potential Soliton Transformation calculus geometry mechanics modeling partial differential equation

Editors and affiliations

  • Robert Conte
    • 1
  • Nino Boccara
    • 1
  1. 1.Service de physique du solide et de résonance magnétiqueCentre d’etudes nucléaires de SaclayGif-sur-YvetteFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0591-7
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6754-6
  • Online ISBN 978-94-009-0591-7
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site