
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 biHamiltonian 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 biHamiltonian systems. Also given are the recursion and biHamiltonian operators for large classes of equations in 2+1, including the KadomtsevPetviashvili (a two dimensional analogue of the KortewegdeVries) and the DaveyStewartson (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