Baecklund Transformation and the Schwarzian Derivative
Abstract
We complete the discussion of the periodic fixed points of Backlund transformations for the Korteweg-de Vries equation. It will be shown that the systems of equations defined by the KdV periodic fixed points are equivalent to the periodic Kac-Van Moerbeke systems. As a consequence, for even order fixed points, the KdV systems are equivalent to the periodic Toda lattice. The periodic fixed points of the Backlund transformation for the Boussinesq equation are found to have a Hamiltonian structure. The integrals of these systems are found.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1987
- Accession Number
- ADA190277
Entities
People
- John E. Weiss
Organizations
- University of California, San Diego