The Inverse Scattering Transformation and The Theory of Solitons

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.