Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampere equations

An integrable discrete-time Lagrangian system on the group of area-preserving plane diffeomorphisms SDiff (R2) is considered. It is shown that non-trivial dynamics exists only for special initial data and the corresponding mapping can be interpreted as a Backlund transformation for the (simple) Mong...

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Bibliographic Details
Main Authors: J. Moser, Alexander Veselov
Format: Default Article
Published: 2002
Subjects:
Online Access:https://hdl.handle.net/2134/2215
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