Accession Number : ADA192824

Title :   Symmetries and BI-Hamiltonian 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 Kadomtsev-Petviashvili equation are illustrated. Integro-differential evolution equations like the Benjamin-Ono 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