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Mobility of discrete solitons in quadratically nonlinear media
  • H Susanto
  • PG Kevrekidis, University of Massachusetts - Amherst
  • R Carretero-Gonzalez
  • BA Malomed
  • DJ Frantzeskakis
Publication Date
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.
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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)
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