Drift instability and tunneling of lattice solitons

Details Drift instability and tunneling of lattice solitons Drift instability and tunneling of lattice solitons

2007-10-15

arxiv.org/abs/0710.2791v2

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.77.045601

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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