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Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems

Wen-Xiu Ma·Maxim Pavlov
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Abstract

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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Wen-Xiu Ma, Maxim Pavlov. 1998-07-08. Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems. https://doi.org/10.1016/s0375-9601(98)00555-6

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