77 citations · 173 across the 12 of their papers we have counts for
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nlin.PS2012★ 12 cited
Ultrashort pulses and short-pulse equations in dimensions
Y. Shen, N. Whitaker, P. G. Kevrekidis +2
In this paper, we derive and study two versions of the short pulse equation (SPE) in dimensions. Using Maxwell's equations as a starting point, and suitable Kramers-Kronig…
nlin.PS2009★ 44 cited
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
N. L. Tsitsas, T. P. Horikis, Y. Shen +3
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency "band gaps" (where line…
nlin.PS2009★ 77 cited
Higher-order effects and ultra-short solitons in left-handed metamaterials
N. L. Tsitsas, N. Rompotis, I. Kourakis +2
Starting from Maxwell's equations, we use the reductive perturbation method to derive a second-order and a third-order nonlinear Schroedinger equation, describing ultra-short solit…