Surface solitons in three dimensions

Q. E. Hoq, R. Carretero-González, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, Yu V. Bludov, V. V. Konotop

Research output: Contribution to journalArticlepeer-review


We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk of the lattice. Typically, the surface makes the stability region larger, an extreme example of that being the three-site "horseshoe"-shaped structure, which is always unstable in the bulk, while at the surface it is stable near the anticontinuum limit. We also examine effects of the surface on lattice vortices. For the vortex placed parallel to the surface, the increased stability-region feature is also observed, while the vortex cannot exist in a state normal to the surface. More sophisticated localized dynamical structures, such as five-site horseshoes and pyramids, are also considered.

Original languageEnglish
Article number036605
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3
StatePublished - 17 Sep 2008


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