21 citations · 66 across the 5 of their papers we have counts for
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nlin.SI2022★ 5 cited
Semi-discrete Lagrangian 2-forms and the Toda hierarchy
Duncan Sleigh, Mats Vermeeren
We present a variational theory of integrable differential-difference equations (semi-discrete integrable systems). This is a natural extension of the ideas known by the names "Lag…
nlin.SI2022★ 6 cited
Lagrangian multiforms on Lie groups and non-commuting flows
Vincent Caudrelier, Frank Nijhoff, Duncan Sleigh +1
We describe a variational framework for non-commuting flows, extending the theories of Lagrangian multiforms and pluri-Lagrangian systems, which have gained prominence in recent ye…