45 citations · 513 across the 36 of their papers we have counts for
Showing 2018 · math-phShow all
3 papers · 2 filters
math-ph2018★ 21 cited
A Variational Approach to Lax Representations
D. G. Sleigh, F. W. Nijhoff, V. Caudrelier
It is shown that the Zakharov-Mihailov (ZM) Lagrangian structure for integrable nonlinear equations derived from a general class of Lax pairs possesses a Lagrangian multiform struc…
math-ph2018★ 5 cited
Classical -Reflection Equation and Gaudin Models
Vincent Caudrelier, Nicolas Crampe
We introduce the notion of -reflection equation which provides a large generalization of the usual classical reflection equation describing integrable boundary conditions. The l…
math-ph2018★ 14 cited
From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
Jean Avan, Vincent Caudrelier, Nicolas Crampe
We reconcile the Hamiltonian formalism and the zero curvature representation in the approach to integrable boundary conditions for a classical integrable system in 1+1 space-time d…