Drift instability and tunneling of lattice solitons
Pattern Formation and Solitons
2009-11-13 v2
Abstract
We derive an analytic formula for the lateral dynamics of solitons in a general inhomogeneous nonlinear media, and show that it can be valid over tens of diffraction lengths. In particular, we show that solitons centered at a lattice maximum can be ``mathematically unstable'' but ``physically stable''. We also derive an analytic upper bound for the critical velocity for tunneling, which is valid even when the standard Peierls-Nabarro potential approach fails.
Keywords
Cite
@article{arxiv.0710.2791,
title = {Drift instability and tunneling of lattice solitons},
author = {Y. Sivan and G. Fibich and B. Ilan},
journal= {arXiv preprint arXiv:0710.2791},
year = {2009}
}