Recursion Operators and Bi-Hamiltonian Structures in Multidimensions II,
CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES
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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.
- Numerical Mathematics