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• W3100686211 abstract "We extend the action for evolution equations of KdV and MKdV type which was derived in [Capel/Nijhoff] to the case of not periodic, but only equivariant phase space variables, introduced in [Faddeev/Volkov]. The difference of these variables may be interpreted as reduced phase space variables via a Marsden-Weinstein reduction where the monodromies play the role of the momentum map. As an example we obtain the doubly discrete sine-Gordon equation and the Hirota equation and the corresponding symplectic structures." @default.
• W3100686211 created "2020-11-23" @default.
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• W3100686211 date "1995-05-01" @default.
• W3100686211 modified "2023-09-30" @default.
• W3100686211 title "Doubly discrete Lagrangian systems related to the Hirota and sine-Gordon equation" @default.
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• W3100686211 doi "https://doi.org/10.1016/0375-9601(95)00233-s" @default.
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