The Inverse Scattering Transformation and The Theory of Solitons


  • W. Eckhaus
  • A. Van Harten


Book information

  • Published: January 1981
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-86166-5


... 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.

Table of 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.