Accession Number:

ADA193273

Title:

Recursion Operators and Bi-Hamiltonian Structures in Multidimensions II,

Descriptive Note:

Corporate Author:

CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES

Personal Author(s):

• Fokas, A. S.
• Santini, P. M.

Report Date:

1986-07-01

Pagination or Media Count:

37.0

Abstract:

The authors analyze further the algebraic properties of bi-Hamiltonian systems in two spatial and one temporal dimensions. By utilizing the Lie algebra of certain basic starting symmetry operators we show that these equations possess infinitely many time dependent symmetries and constants of motion. The master symmetries for these equations are simply derived within our formalism. Furthermore, certain new functions T sub 12 are introduced, which algorithmically imply recursion operators phi 12. Finally the theory presented here an in a previous paper is both motivated and verified by regarding multidimensional equations as certain singular limits of equations in one spatial dimension.

Descriptors:

• *HAMILTONIAN FUNCTIONS
• *RECURSIVE FUNCTIONS
• ALGEBRA
• CONSTANTS
• EQUATIONS
• MOTION
• SYMMETRY
• TIME DEPENDENCE

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE