45 citations · 513 across the 36 of their papers we have counts for
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On the Zakharov-Mikhailov action: d Chern-Simons origin and covariant Poisson algebra of the Lax connection
Vincent Caudrelier, Matteo Stoppato, Benoit Vicedo
We derive the d Zakharov-Mikhailov action from d Chern-Simons theory. This d action is known to produce as equations of motion the flatness condition of a large class of L…
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…
Multiform description of the AKNS hierarchy and classical r-matrix
Vincent Caudrelier, Matteo Stoppato
In recent years, new properties of space-time duality in the Hamiltonian formalism of certain integrable classical field theories have been discovered and have led to their reformu…
Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings
Vincent Caudrelier, Peter H. van der Kamp, Cheng Zhang
In the context of integrable partial difference equations on quad-graphs, we introduce the notion of open boundary reductions as a new means to construct discrete integrable mappin…
Hamiltonian multiform description of an integrable hierarchy
Vincent Caudrelier, Matteo Stoppato
Motivated by the notion of Lagrangian multiforms, which provide a Lagrangian formulation of integrability, and by results of the authors on the role of covariant Hamiltonian formal…