20 citations · 38 across the 3 of their papers we have counts for
3 papers
nlin.SI2009
On Calogero-Francoise-type Lax matrices and their dynamical r-matrices
Jean Avan, Genevieve Rollet
New classical integrable systems of Camassa-Holm peakon type are proposed. They realize the maximal even piecewise-D_2 generalization of the Calogero-Francoise flows, yielding peri…
hep-th2008★ 18 cited
Boundary Lax pairs for the Toda field theories
Jean Avan, Anastasia Doikou
Based on the recent formulation of a general scheme to construct boundary Lax pairs,we develop this systematic construction for the affine Toda field theories (ATFT). W…
hep-th2007★ 20 cited
Integrable boundary conditions and modified Lax equations
Jean Avan, Anastasia Doikou
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices g…