Published March 1980
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Canonical structure of Baecklund transformations
Description
Most of the integrable nonlinear evolution equations in 1+1 dimensions are known to be Hamiltonian systems. It is shown that the 'Generalized Baecklund Transformations' of Calogero and Degasperis form the group of canonical transformations that keeps these Hamiltonians invariant. In other words, they form a group of symmetry transformations for these Hamiltonian systems. (Auth.)
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Additional details
Publishing Information
- Imprint Pagination
- 13 p.
- Report number
- NBI-HE--80-12
INIS
- Country of Publication
- Denmark
- Country of Input or Organization
- Denmark
- INIS RN
- 11549859
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CANONICAL TRANSFORMATIONS; HAMILTONIANS; RICCATI EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS