Radiationless Travelling Waves In Saturable Nonlinear Schr\"odinger Lattices
Pattern Formation and Solitons
2015-05-25 v2
Abstract
The longstanding problem of moving discrete solitary waves in nonlinear Schr{\"o}dinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. {\em Genuinely localised travelling waves} are computed as a function of the system parameters {\it for the first time}. The relevant solutions exist only for finite velocities.
Keywords
Cite
@article{arxiv.nlin/0603071,
title = {Radiationless Travelling Waves In Saturable Nonlinear Schr\"odinger Lattices},
author = {T. R. O. Melvin and A. R. Champneys and P. G. Kevrekidis and J. Cuevas},
journal= {arXiv preprint arXiv:nlin/0603071},
year = {2015}
}
Comments
5 pages, 4 figures