Generalized Miura transformations induced by factorization of an nth‐order scalar operator are used to characterize a set of Hamiltonian systems by requiring the conservation of the Gel’fand–Dikii first integrals sequence. The second symplectic structure for the Gel’fand–Dikii equations is obtained in connection with the previous Hamiltonian systems. Bäcklund transformations are also analyzed.
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© 1982 American Institute of Physics.
1982
American Institute of Physics
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