Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems

Details Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems

1998-07-08

arxiv.org/abs/solv-int/9807002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, latex

Scientific paper

10.1016/S0375-9601(98)00555-6

An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators. Based on a specific choice of Hamiltonian operators of lower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a consequence of bi-Hamiltonian structure, they all possess infinitely many symmetries and infinitely many conserved densities.

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