Baecklund Transformation and the Schwarzian Derivative
Final rept. 1 Feb 1986-31 Jul 1987
CALIFORNIA UNIV SAN DIEGO LA JOLLA INST FOR PURE AND APPLIED PHYSICAL SCIENCES
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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.
- Numerical Mathematics