45 citations · 513 across the 36 of their papers we have counts for
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math-ph2019★ 18 cited
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…
math-ph2019★ 11 cited
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…
math-ph2019★ 11 cited
New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method
Vincent Caudrelier, Nicolas Crampe
Using Sklyanin's classical theory of integrable boundary conditions, we use the Hamiltonian approach to derive new integrable boundary conditions for the Ablowitz-Ladik model on th…