Resonant scattering of solitons
Soft Condensed Matter
2009-11-10 v1 Statistical Mechanics
Pattern Formation and Solitons
Abstract
We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The analytical predictions are tested numerically in regimes characterized by various time scales. Special attention is paid to intermode interactions and their effect on coherence, decoherence and dephasing of plane-wave modes which build up the soliton.
Cite
@article{arxiv.cond-mat/0305410,
title = {Resonant scattering of solitons},
author = {A. E. Miroshnichenko and S. Flach and B. Malomed},
journal= {arXiv preprint arXiv:cond-mat/0305410},
year = {2009}
}
Comments
7 pages, 6 figures