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• W3105469213 abstract "We generalise the concept of duality to systems of ordinary difference equations (or maps). We propose a procedure to construct a chain of systems of equations which are dual, with respect to an integral $H$, to the given system, by exploiting the integral relation, defined by the upshifted version and the original version of $H$. When the numerator of the integral relation is biquadratic or multi-linear, we point out conditions where a dual fails to exists. The procedure is applied to several two-component systems obtained as periodic reductions of 2D lattice equations, including the nonlinear Schr{o}dinger system, the two-component potential Korteweg-De Vries equation, the scalar modified Korteweg-De Vries equation, and a modified Boussinesq system." @default.
• W3105469213 created "2020-11-23" @default.
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• W3105469213 date "2019-09-11" @default.
• W3105469213 modified "2023-09-27" @default.
• W3105469213 title "Generating a chain of maps which preserve the same integral as a given map" @default.
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• W3105469213 doi "https://doi.org/10.1088/1402-4896/ab36f1" @default.
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