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On the discrete form of the Fokas–Ablowitz equation
Authors:A Ramani  B Grammaticos
Institution:

aCPT, Ecole Polytechnique, CNRS, UMR 7644, 91128 Palaiseau, France

bGMPIB, Université Paris VII, Case 7021, 75251 Paris, France

Abstract:The Fokas–Ablowitz equation, quadratic in the second derivative, is obtained from Painlevé VI by a Miura transformation. We present here two different discretisations in terms of difference- and multiplicative, q-, equations.
Keywords:
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