Publication Date
2006
Abstract
The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. Genuinely localized traveling waves are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.
Volume
97
Issue
12
Recommended Citation
Melvin, T.R.O; Champneys, A R.; and Kevrekidis, PG, "Radiationless Traveling Waves in Saturable Nonlinear Schrödinger Lattices" (2006). Mathematics and Statistics Department Faculty Publication Series. 1075.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1075
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://prl.aps.org/abstract/PRL/v97/i12/e124101