A Universal Map for Fractal Structures in Weak Solitary Wave Interactions
Chaotic Dynamics
2012-10-19 v1 Pattern Formation and Solitons
Abstract
Fractal scatterings in weak solitary wave interactions is analyzed for generalized nonlinear Schr\"odiger equations (GNLS). Using asymptotic methods, these weak interactions are reduced to a universal second-order map. This map gives the same fractal scattering patterns as those in the GNLS equations both qualitatively and quantitatively. Scaling laws of these fractals are also derived.
Cite
@article{arxiv.0802.3595,
title = {A Universal Map for Fractal Structures in Weak Solitary Wave Interactions},
author = {Yi Zhu and Richard Haberman and Jianke Yang},
journal= {arXiv preprint arXiv:0802.3595},
year = {2012}
}
Comments
4 pages, 3 figures to appear in Phys. Rev. Lett. (2008)