Liouville integrable defects: the non-linear Schrödinger paradigm

@article{Avan2012LiouvilleID,
title={Liouville integrable defects: the non-linear Schr{\"o}dinger paradigm},
author={J. Avan and A. Doikou},
journal={Journal of High Energy Physics},
year={2012},
volume={2012},
pages={1-19}
}

A bstractA systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrödinger model in the presence of a single particle-like defect is investigated through this algebraic approach. Local integrals of motions are constructed as well as the time components of the corresponding Lax pairs. Continuity conditions imposed upon the time components of the Lax pair to all orders give rise to sewing conditions, which turn out to… CONTINUE READING