Accession Number : ADA193269

Title :   Aspects of Integrability in One and Several Dimensions,

Corporate Author : CLARKSON UNIV POTSDAM NY

Personal Author(s) : Fokas, A S

PDF Url : ADA193269

Report Date : Jan 1986

Pagination or Media Count : 33

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.

Descriptors :   *INVERSE SCATTERING, *WAVE EQUATIONS, ALGEBRA, OPERATORS(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE