Helmholtz bright and boundary solitons
Christian, JM, McDonald, GS 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
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|Schools:||Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre|
|Journal or Publication Title:||Journal of Physics A: Mathematical and Theoretical|
|Publisher:||Institute of Physics|
|Depositing User:||GS McDonald|
|Date Deposited:||14 Oct 2011 10:41|
|Last Modified:||17 Oct 2011 14:16|
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