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- W3100691252 abstract "Following the general results on the relationships about Bäcklund transformations (BTs) and exact discretisation given in a previous work [Zullo, F., “Bäcklund transformations and Hamiltonian flows” J. Phys. A: Math. Theor. 46, 145203 (2013)10.1088/1751-8113/46/14/145203], we consider the Ablowitz-Ladik hierarchy and a corresponding family of BTs. After discussing the boundary conditions, we show how to get explicit transformations. The Hamiltonian properties of the maps and of the discrete flows are examined. The conditions on the parameters of the map giving exact discretisations are discussed. Finally, analytical and numerical examples are given." @default.
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- W3100691252 date "2013-05-01" @default.
- W3100691252 modified "2023-10-18" @default.
- W3100691252 title "On an integrable discretisation of the Ablowitz-Ladik hierarchy" @default.
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- W3100691252 doi "https://doi.org/10.1063/1.4807418" @default.
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