Helmholtz bright and boundary solitons

Christian, JM, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and Chamorro-Posada, P 2007, 'Helmholtz bright and boundary solitons' , Journal of Physics A: Mathematical and Theoretical, 40 (7) , pp. 1545-1560.

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Abstract

We report, for the first time, exact analytical boundary solitons of a generalized cubic-quintic Non-Linear Helmholtz (NLH) equation. These solutions have a linked-plateau topology that is distinct from conventional dark soliton solutions; their amplitude and intensity distributions are spatially delocalized and connect regions of finite and zero wave-field disturbances (suggesting also the classification as 'edge solitons'). Extensive numerical simulations compare the stability properties of recently-reported Helmholtz bright solitons, for this type of polynomial non-linearity, to those of the new boundary solitons. The latter are found to possess a remarkable stability characteristic, exhibiting robustness against perturbations that would otherwise lead to the destabilizing of their bright-soliton counterparts

Item Type:	Article
Themes:	Energy Media, Digital Technology and the Creative Economy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title:	Journal of Physics A: Mathematical and Theoretical
Publisher:	Institute of Physics
Refereed:	Yes
ISSN:	1751-8113
Related URLs:	Publication
Depositing User:	GS McDonald
Date Deposited:	14 Oct 2011 09:41
Last Modified:	15 Feb 2022 16:06
URI:	http://usir.salford.ac.uk/id/eprint/18328

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