Stability of multi-solitons in the cubic NLS equation
Analysis of PDEs
2013-07-12 v1
Abstract
We address stability of multi-solitons in the cubic NLS (nonlinear Schr\"{o}dinger) equation on the line. By using the dressing transformation and the inverse scattering transform methods, we obtain the orbital stability of multi-solitons in the space when the initial data is in a weighted space.
Keywords
Cite
@article{arxiv.1307.2975,
title = {Stability of multi-solitons in the cubic NLS equation},
author = {Andres Contreras and Dmitry E. Pelinovsky},
journal= {arXiv preprint arXiv:1307.2975},
year = {2013}
}