Helmholtz bright and boundary solitons
نویسندگان
چکیده
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 recentlyreported 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. PACS number(s): 42.65.–k (nonlinear optics), 42.65.Tg (optical solitons), 05.45.Yv (solitons, nonlinear dynamics of) Submitted to Journal of Physics A: Mathematical and Theoretical as a Paper. Resubmitted on 20 December 2006 3 Corresponding author. Helmholtz bright and boundary solitons 2
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