Exponential Decay for dispersion managed solitons for general dispersion profiles
Analysis of PDEs
2013-09-05 v3 Mathematical Physics
math.MP
Abstract
We show that any weak solution of the Gabitov-Turitsyn equation describing dispersion managed solitons together with its Fourier transform decay exponentially. This strong regularity result extends a recent result of Erdogan, Hundertmark and Lee in two directions, to arbitrary non-negative average dispersion and, more importantly, to rather general dispersion profiles, which cover most, if not all, physically relevant cases.
Cite
@article{arxiv.1212.4004,
title = {Exponential Decay for dispersion managed solitons for general dispersion profiles},
author = {William R. Green and Dirk Hundertmark},
journal= {arXiv preprint arXiv:1212.4004},
year = {2013}
}