Envelope quasi-solitons in dissipative systems with cross-diffusion
Pattern Formation and Solitons
2015-05-28 v2
Abstract
We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other. Presently we demonstrate a different type of quasi-solitons, with a phenomenology resembling that of the envelope solitons in Nonlinear Schroedinger equation: spatiotemporal oscillations with a smooth envelope, with the velocity of the oscillations different from the velocity of the envelope.
Cite
@article{arxiv.1105.3003,
title = {Envelope quasi-solitons in dissipative systems with cross-diffusion},
author = {V. N. Biktashev and M. A. Tsyganov},
journal= {arXiv preprint arXiv:1105.3003},
year = {2015}
}
Comments
4 pages, 4 figures, as accepted to Phys Rev Letters on 2011/08/25