Title: Modified Hamiltonian systems and canonical transformations arising from the relationship between generalized Zakharov–Shabat and energy‐dependent Schrödinger operators
Abstract: A new family of completely integrable infinite-dimensional Hamiltonian systems is found. Two canonical maps are deduced which transform this family into the families of Hamiltonian systems associated with the generalized Zakharov–Shabat and energy-dependent Schrödinger operators. Through these maps several relevant Hamiltonian structures are connected. In particular, a simple explanation of the second Hamiltonian structure for AKNS equations is given.
Publication Year: 1981
Publication Date: 1981-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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