
Accession Number : ADA192824
Title : Symmetries and BIHamiltonian Structures of 2+1 Dimensional Systems,
Corporate Author : CLARKSON UNIV POTSDAM NY DEPT OF MATHEMATICS AND COMPUTER SCIENCE
Personal Author(s) : Santini, P M ; Fokas, A S
PDF Url : ADA192824
Report Date : Jan 1986
Pagination or Media Count : 19
Abstract : The theory associated with the recursion operators of classes of integrable nonlinear evolution equations in 2+1 dimensions is summarized. In particular the notions of symmetries, gradients of conserved quantities, strong and hereditary symmetries, Hamiltonian operators are generalized to equations in multidimensions. Applications to physically relevant equations like the KadomtsevPetviashvili equation are illustrated. Integrodifferential evolution equations like the BenjaminOno equation are shown to be also described by this generalized theory.
Descriptors : *HAMILTONIAN FUNCTIONS, *RECURSIVE FUNCTIONS, DIFFERENTIAL EQUATIONS, EVOLUTION(GENERAL), NONLINEAR ALGEBRAIC EQUATIONS, OPERATORS(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE