Chaoticons described by nonlocal nonlinear Schrodinger equation
Pattern Formation and Solitons
2016-09-12 v1 Mathematical Physics
math.MP
Abstract
It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrodinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-like properties (with invariant statistic width and interaction of quasi-elastic collisions).
Cite
@article{arxiv.1609.02673,
title = {Chaoticons described by nonlocal nonlinear Schrodinger equation},
author = {Lanhua Zhong and Yuqi Li and Yong Chen and Weiyi Hong and Wei Hu and Qi Guo},
journal= {arXiv preprint arXiv:1609.02673},
year = {2016}
}
Comments
5 pages, 5 figures, and 45 references