Drift instability and tunneling of lattice solitons

Y. Sivan, G. Fibich, B. Ilan

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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.

Original languageEnglish
Article number045601
JournalPhysical Review E
Issue number4
StatePublished - 29 Apr 2008
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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