50 citations · 330 across the 31 of their papers we have counts for
4 papers · 1 filter
-Strands on symmetric spaces
Alexis Arnaudon, Darryl D. Holm, Rossen I. Ivanov
We study the -strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces…
The stochastic integrable AKNS hierarchy
Alexis Arnaudon
We derive a stochastic AKNS hierarchy using geometrical methods. The integrability is shown via a stochastic zero curvature relation associated with a stochastic isospectral proble…
On a deformation of the nonlinear Schrödinger equation
Alexis Arnaudon
We study a deformation of the nonlinear Schrödinger equation recently derived in the context of deformation of hierarchies of integrable systems. This systematic method also led to…
On a Lagrangian reduction and a deformation of completely integrable systems
Alexis Arnaudon
We develop a theory of Lagrangian reduction on loop groups for completely integrable systems after having exchanged the role of the space and time variables in the multi-time inter…