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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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:
Depositing User: GS McDonald
Date Deposited: 14 Oct 2011 09:41
Last Modified: 15 Feb 2022 16:06
URI: https://usir.salford.ac.uk/id/eprint/18328

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