71 citations · 297 across the 17 of their papers we have counts for
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nlin.PS2017★ 71 cited
Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
Mark J. Ablowitz, Justin T. Cole
A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are c…
nlin.PS2017★ 7 cited
Time-dependent spectral renormalization method
Justin T. Cole, Ziad H. Musslimani
The spectral renormalization method was introduced by Ablowitz and Musslimani in 2005, [Opt. Lett. 30, pp. 2140-2142] as an effective way to numerically compute (time-independent)…