Aspects of Integrability in One and Several Dimensions,
Abstract
The results on Inverse Scattering in multidimensions and on the algebraic properties of equations in 2+1 (i.e. two spatial and one temporal) dimensions should be of particular interest: With respect to algebraic properties of equations in 2+1, the question of finding the recursion operator and the bi-Hamiltonian formulation of these equations has remained open for a rather long time. It was even doubted in the literature if the relevant results in 1+1 could be extended to 2+1. It was recently shown that equations in 2+1 solvable via the Inverse Scattering Transform are bi-Hamiltonian systems. Also given are the recursion and bi-Hamiltonian operators for large classes of equations in 2+1, including the Kadomtsev-Petviashvili (a two dimensional analogue of the Korteweg-deVries) and the Davey-Stewartson (a two dimensional analogue of the nonlinear Schrodinger) equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1986
- Accession Number
- ADA193269
Entities
People
- A. S. Fokas
Organizations
- Clarkson University