Mobility of discrete solitons in quadratically nonlinear media

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

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


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
Issue number21
StatePublished - 21 Nov 2007


Dive into the research topics of 'Mobility of discrete solitons in quadratically nonlinear media'. Together they form a unique fingerprint.

Cite this