Multi-component structure of nonlinear excitations in systems with length-scale competition
Soft Condensed Matter
2009-10-31 v1
Abstract
We investigate the properties of nonlinear excitations in different types of soliton bearing systems with long-range dispersive interaction. We show that length-scale competition in such systems universally results in a multi-component structure of nonlinear excitations and can lead to a new type of multistability: coexistence of different nonlinear excitations at the same value of the spectral parameter (i.e., velocity in the case of anharmonic lattices or frequency in nonlinear Schroedinger models).
Cite
@article{arxiv.cond-mat/0012048,
title = {Multi-component structure of nonlinear excitations in systems with length-scale competition},
author = {Peter L. Christiansen and Yuri B. Gaididei and Franz G. Mertens and Serge F. Mingaleev},
journal= {arXiv preprint arXiv:cond-mat/0012048},
year = {2009}
}
Comments
9 pages (LaTeX) with 8 figures (EPS)