22 citations · 62 across the 5 of their papers we have counts for
5 papers
Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
Vincent Caudrelier, Matteo Stoppato, Benoit Vicedo
We cast the classical Yang-Baxter equation (CYBE) in a variational context for the first time, by relating it to the theory of Lagrangian multiforms, a framework designed to captur…
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…
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…
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…
A connection between the classical r-matrix formalism and covariant Hamiltonian field theory
Vincent Caudrelier, Matteo Stoppato
We bring together aspects of covariant Hamiltonian field theory and of classical integrable field theories in dimensions. Specifically, our main result is to obtain for the f…