Volume 8, Issue Supplement, February 2001, Pages 5 - 12
Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation
N.V. Alexeeva, I.V. Barashenkov, G.P. Tsironis
Available Online 1 February 2001.
- 10.2991/jnmp.2001.8.s.2How to use a DOI?
Solitons of the parametrically driven, damped nonlinear Schrödinger equation become unstable and seed spatiotemporal chaos for sufficiently large driving amplitudes. We show that the chaos can be suppressed by introducing localized inhomogeneities in the parameters of the equation. The pinning of the soliton on an "attractive" ihomogeneity expands its stability region whereas "repulsive" impurities produce an effective partitioning of the interval. We also show that attractive impurities may spontaneously nucleate solitons which subsequently remain pinned on these defects. A brief account of these results has appeared in patt-sol/9906001, where the interested reader can also find multicolor versions of the figures.
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - N.V. Alexeeva AU - I.V. Barashenkov AU - G.P. Tsironis PY - 2001 DA - 2001/02/01 TI - Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation JO - Journal of Nonlinear Mathematical Physics SP - 5 EP - 12 VL - 8 IS - Supplement SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.s.2 DO - 10.2991/jnmp.2001.8.s.2 ID - Alexeeva2001 ER -