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Solitons, Nonlinear Evolution Equations and Inverse Scattering

Solitons, Nonlinear Evolution Equations and Inverse Scattering


Part of London Mathematical Society Lecture Note Series

  • Date Published: December 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521387309

£ 119.00

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About the Authors
  • Solitons have been of considerable interest to mathematicians since their discovery by Kruskal and Zabusky. This book brings together several aspects of soliton theory currently only available in research papers. Emphasis is given to the multi-dimensional problems arising and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the ∂ method. Thus, this book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.

    • Ablowitz is one of the founders of soliton theory
    • Soliton theory is one of the new growth areas in mathematics, one of the most important ways of solving partial differential equations
    • Soliton books sell
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    Reviews & endorsements

    'It is valuable in bridging the diverse approaches to the subject by analysts and algebraic geometeers … Their book is a well-ordered treasure-house of ancient and modern work … essential for all specialists on integrable systems and for all major mathematical libraries.' LSM

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    Product details

    • Date Published: December 1991
    • format: Paperback
    • isbn: 9780521387309
    • length: 532 pages
    • dimensions: 229 x 152 x 34 mm
    • weight: 0.784kg
    • contains: 58 b/w illus. 1 table
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Inverse scattering for the Korteweg-de Vries equation
    3. General inverse scattering in one dimension
    4. Inverse scattering for integro-differential equations
    5. Inverse scattering in two dimensions
    6. Inverse scattering in multidimensions
    7. The Painleve equations
    8. Discussion and open problems
    Appendix A: Remarks on Riemann-Hilbert problems
    Appendix B: Remarks on problems
    Subject index
    Author index.

  • Authors

    M. A. Ablowitz, University of Colorado, Boulder

    P. A. Clarkson, University of Exeter

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