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Nato Science Series C:

Partially Integrable Evolution Equations in Physics

Editors: Conte, R., Boccara, N. (Eds.)

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  • ISBN 978-94-010-6754-6
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About this book

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.

Table of contents (33 chapters)

  • Competing Interactions and Complexity in Condensed Matter

    Bishop, A. R.

    Pages 1-38

  • Exact Solutions of the Boltzmann Equation

    Cornille, H.

    Pages 39-82

  • Nonlinear Interaction Between Short and Long Waves

    Karpman, V. I.

    Pages 83-159

  • Nonlinear Optics

    Newell, Alan C. (et al.)

    Pages 161-161

  • The Phase Diffusion and Mean Drift Equations for Convection at Finite Rayleigh Numbers in Large Containers I

    Newell, Alan C. (et al.)

    Pages 163-163

Buy this book

eBook £51.99
price for United Kingdom (gross)
  • ISBN 978-94-009-0591-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £72.00
price for United Kingdom (gross)
  • ISBN 978-0-7923-0752-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover £64.99
price for United Kingdom (gross)
valid through October 16, 2017
  • ISBN 978-94-010-6754-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Partially Integrable Evolution Equations in Physics
Editors
  • R. Conte
  • N. Boccara
Series Title
Nato Science Series C:
Series Volume
310
Copyright
1990
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-94-009-0591-7
DOI
10.1007/978-94-009-0591-7
Hardcover ISBN
978-0-7923-0752-5
Softcover ISBN
978-94-010-6754-6
Series ISSN
1389-2185
Edition Number
1
Number of Pages
626
Topics