[go: up one dir, main page]
Skip to main content
Springer Nature Link
Account

Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974

  • Conference proceedings
  • © 1976

Overview

Editors:
  1. Robert M. Miura

Part of the book series: Lecture Notes in Mathematics (LNM, volume 515)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
Softcover Book EUR 52.74
Price includes VAT (France)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Explore related subjects

Discover the latest articles, books and news in related subjects.

Table of contents (14 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Introduction

    • Robert M. Miura
    Pages 1-11

  3. Experiments on solitary waves

    • Karl E. Lonngren
    Pages 12-24

  4. Stimulated Raman and Brillouin scattering and the inverse method

    • Flora Ying Fun Chu
    Pages 25-39

  5. Direct method of finding exact solutions of nonlinear evolution equations

    • Ryogo Hirota
    Pages 40-68

  6. Bäcklund transformations at the turn of the century

    • George L. Lamb Jr.
    Pages 69-79

  7. The application of Bäcklund transforms to physical problems

    • Alwyn C. Scott
    Pages 80-105

  8. On applications of generalized Bäcklund transformations to continuum mechanics

    • Colin Rogers
    Pages 106-135

  9. Some old and new techniques for the practical use of exterior differential forms

    • Frank B. Estabrook
    Pages 136-161

  10. Bäcklund transformation of potentials of the Korteweg-devries equation and the interaction of solitons with cnoidal waves

    • Hugo D. Wahlquist
    Pages 162-183

  11. Pseudopotentials and their applications

    • James P. Corones, Frank J. Testa
    Pages 184-198

  12. Variational problems and Bäcklund transformations associated with the sine-gordon and Korteweg-deVries equations and their extensions

    • Hanno Rund
    Pages 199-226

  13. The interrelation between Bäcklund transformations and the inverse scattering transform

    • Alan C. Newell
    Pages 227-240

  14. Relation between Bäcklund transformations and inverse scattering problems

    • Hsing-Hen Chen
    Pages 241-252

  15. Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method

    • Hermann Flaschka, David W. McLaughlin
    Pages 253-295
Back to top

Accessibility Information

PDF accessibility summary

This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format.

Bibliographic Information

  • Book Title: Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

  • Book Subtitle: Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974

  • Editors: Robert M. Miura

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0081158

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1976

  • Softcover ISBN: 978-3-540-07687-2Published: 01 June 1976

  • eBook ISBN: 978-3-540-38220-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 295

  • Topics: Analysis

Keywords

Publish with us

Policies and ethics

Back to top