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Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems - MaRDI portal

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Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems

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Publication:6511761

DOI10.1016/S0375-9601(98)00555-6arXivsolv-int/9807002MaRDI QIDQ6511761

Author name not available (Why is that?)


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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