Stability of multi-solitons for the derivative nonlinear Schr{\"o}dinger equation
Analysis of PDEs
2016-09-16 v1
Abstract
The nonlinear Schr{\"o}dinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbital stability of multi-solitons configurations in the energy space, under suitable assumptions on the speeds and frequencies of the composing solitons. The main ingredients of the proof are modulation theory, energy coercivity and monotonicity properties.
Keywords
Cite
@article{arxiv.1609.04589,
title = {Stability of multi-solitons for the derivative nonlinear Schr{\"o}dinger equation},
author = {Stefan Le Coz and Yifei Wu},
journal= {arXiv preprint arXiv:1609.04589},
year = {2016}
}