Mobility of discrete solitons in quadratically nonlinear media

H. Susanto, P. G. Kevrekidis, R. Carretero-González, B. A. Malomed, D. J. Frantzeskakis

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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.

Original languageBritish English
Article number214103
JournalPhysical Review Letters
Volume99
Issue number21
DOIs
StatePublished - 21 Nov 2007

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