We investigate the evolution of solitary waves in a nonlocal medium in the presence of disorder. By using a perturbational approach, we show that an increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. Analytical predictions are compared with numerical simulations based on stochastic partial differential equation.
%0 Journal Article
%1 2010arXiv1005.0578F
%A Folli, Viola
%A Conti, Claudio
%D 2010
%J Physical Review Letters
%K - Atomic Optics, Physics myown
%P 193901
%T Frustrated Brownian Motion of Nonlocal Solitary Waves
%U http://link.aps.org/doi/10.1103/PhysRevLett.104.193901
%V 104
%X We investigate the evolution of solitary waves in a nonlocal medium in the presence of disorder. By using a perturbational approach, we show that an increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. Analytical predictions are compared with numerical simulations based on stochastic partial differential equation.
@article{2010arXiv1005.0578F,
abstract = {We investigate the evolution of solitary waves in a nonlocal medium in the presence of disorder. By using a perturbational approach, we show that an increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. Analytical predictions are compared with numerical simulations based on stochastic partial differential equation. },
added-at = {2016-08-08T09:50:00.000+0200},
adsnote = {Provided by the SAO/NASA Astrophysics Data System},
adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1005.0578F},
archiveprefix = {arXiv},
author = {Folli, Viola and Conti, Claudio},
biburl = {https://www.bibsonomy.org/bibtex/2fe5cdb48fc7fdb317dd571379594ba2a/nonlinearxwaves},
eprint = {http://arxiv.org/abs/1005.0578},
interhash = {f79e5765f6b09a6bd6df712c7fa19591},
intrahash = {fe5cdb48fc7fdb317dd571379594ba2a},
journal = {Physical Review Letters},
keywords = {- Atomic Optics, Physics myown},
month = may,
pages = 193901,
timestamp = {2016-08-08T09:54:02.000+0200},
title = {Frustrated Brownian Motion of Nonlocal Solitary Waves},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.104.193901},
volume = 104,
year = 2010
}