21 citations · 66 across the 5 of their papers we have counts for
3 papers · 1 filter
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…
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…
Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy
Duncan Sleigh, Frank Nijhoff, Vincent Caudrelier
We present, for the first time, a Lagrangian multiform for the complete Kadomtsev-Petviashvili (KP) hierarchy -- a single variational object that generates the whole hierarchy and…