45 citations · 513 across the 36 of their papers we have counts for
24 papers · 1 filter
Lagrangian Multiform for Cyclotomic Gaudin Models
Vincent Caudrelier, Anup Anand Singh, Benoît Vicedo
We construct a Lagrangian multiform for the class of cyclotomic (rational) Gaudin models by formulating its hierarchy within the Lie dialgebra framework of Semenov-Tian-Shansky and…
Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems
Vincent Caudrelier, Marta Dell'Atti, Anup Anand Singh
Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian -forms covers finite-dimensional integrable systems. We use the…
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…
Variational symmetries and Lagrangian multiforms
D. G. Sleigh, F. W. Nijhoff, V. Caudrelier
By considering the closure property of a Lagrangian multiform as a conservation law, we use Noether's theorem to show that every variational symmetry of a Lagrangian leads to a Lag…