Action-angle variables for the nonlinear Schr\"{o}dinger equation on the half-line
Exactly Solvable and Integrable Systems
2024-07-10 v1
Abstract
We consider the nonlinear Schr\"{o}dinger (NLS) equation on the half-line subjecting to a class of boundary conditions preserve the integrability of the model. For such a half-line problem, the Poisson brackets of the corresponding scattering data are computed, and the variables of action-angle type are constructed. These action-angle variables completely trivialize the dynamics of the NLS equation on the half-line.
Keywords
Cite
@article{arxiv.2407.06916,
title = {Action-angle variables for the nonlinear Schr\"{o}dinger equation on the half-line},
author = {Baoqiang Xia},
journal= {arXiv preprint arXiv:2407.06916},
year = {2024}
}