Theory of solitons: The inverse scattering method
Abstract
A compendium of papers focusing on the development of, and the progress made with, the inverse scattering method in integrating important nonlinear differential wave equations is presented. An overview of the method is given, with derivations of the Kortweg-de Vries and nonlinear Schroedinger equations for certain physical problems. Periodic solutions of the Kortweg-de Vries equation are derived, and the construction of integrable systems and their solutions, symptotic solutions over large times, and the theory of the Kadomtsev-Petviashvili equation are examined.
- Publication:
-
New York and London
- Pub Date:
- 1984
- Bibcode:
- 1984lcb..book.....N
- Keywords:
-
- Inverse Scattering;
- Korteweg-Devries Equation;
- Nonlinear Systems;
- Schroedinger Equation;
- Solitary Waves;
- Wave Equations;
- Fraunhofer Lines;
- Numerical Analysis;
- Riemann Manifold;
- Physics (General)