Recursion Operators and Bi-Hamiltonian Structures in Multidimensions II,
Abstract
The authors analyze further the algebraic properties of bi-Hamiltonian systems in two spatial and one temporal dimensions. By utilizing the Lie algebra of certain basic (starting) symmetry operators we show that these equations possess infinitely many time dependent symmetries and constants of motion. The master symmetries for these equations are simply derived within our formalism. Furthermore, certain new functions T sub 12 are introduced, which algorithmically imply recursion operators phi 12. Finally the theory presented here an in a previous paper is both motivated and verified by regarding multidimensional equations as certain singular limits of equations in one spatial dimension.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1986
- Accession Number
- ADA193273
Entities
People
- A. S. Fokas
- P. M. Santini
Organizations
- Clarkson University