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arXiv · 0710.2791

Drift instability and tunneling of lattice solitons

Y. Sivan·G. Fibich·B. Ilan
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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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Y. Sivan, G. Fibich, B. Ilan. 2007-12-19. Drift instability and tunneling of lattice solitons. https://doi.org/10.1103/physreve.77.045601

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