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Mobility of discrete solitons in quadratically nonlinear media
PHYSICAL REVIEW LETTERS
  • H Susanto
  • PG Kevrekidis, University of Massachusetts - Amherst
  • R Carretero-Gonzalez
  • BA Malomed
  • DJ Frantzeskakis
Publication Date
2007
Abstract
We study the mobility of solitons in lattices with quadratic (χ(2), alias second-harmonic-generating) nonlinearity. Using the notion of the Peierls-Nabarro potential and systematic numerical simulations, we demonstrate that, in contrast with their cubic (χ(3)) counterparts, the discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two dimensions (2D), in any direction. We identify parametric regions where an initial kick applied to a soliton leads to three possible outcomes: staying put, persistent motion, or destruction. On the 2D lattice, the solitons survive the largest kick and attain the largest speed along the diagonal direction.
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v99/i21/e214103
Pages
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Citation Information
H Susanto, PG Kevrekidis, R Carretero-Gonzalez, BA Malomed, et al.. "Mobility of discrete solitons in quadratically nonlinear media" PHYSICAL REVIEW LETTERS Vol. 99 Iss. 21 (2007)
Available at: http://works.bepress.com/panos_kevrekidis/84/