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 |
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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: | 28 Oct 2020 14:01 |
URI: | http://usir.salford.ac.uk/id/eprint/18328 |
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