The Inverse Scattering Transformation and The Theory of Solitons book cover

The Inverse Scattering Transformation and The Theory of Solitons

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Published: January 1981

Imprint: North-holland

ISBN: 978-0-444-86166-5

Reviews

  • ... This book provides an entirely self-contained exposition on the subject ... The theory is presented in a mathematically satisfactory way and the treatment is fully rigorous, filling many gaps in the existing literature and presenting new insights into various aspects of the theory.
    INSPEC

Contents

  • 1. The Korteweg-De Vries Equation. 2. Solution by the Method of Gardner-Greene-Kruskal-Miura: The Inverse Scattering Transformation. 3. Isospectral Potentials. The Lax Approach. 4. Direct and Inverse Scattering for the Schrödinger Equation. 5. Direct and Inverse Scattering for the Generalized Zakharov-Shabat System. 6. Applications of the Inverse Scattering Transformation. 7. Perturbations. References.

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