Drift instability and tunneling of lattice solitons
arXiv:0710.2791 · doi:10.1103/PhysRevE.77.045601
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.
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