The Inverse Scattering Transformation and The Theory of Solitons
By- W. Eckhaus
- A. Van Harten
Included in series
North-Holland Mathematics Studies
North-Holland Mathematics Studies
,
Published: January 1981
Imprint: North-holland
ISBN: 978-0-444-86166-5
Reviews
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... 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.
