329 citations · 5.2k across the 203 of their papers we have counts for
3 papers · 2 filters
Stability and dynamical properties of Cooper-Shepard-Sodano compactons
Bogdan Mihaila, Andres Cardenas, Fred Cooper +1
Extending a Pade approximant method used for studying compactons in the Rosenau-Hyman (RH) equation, we study the numerical stability of single compactons of the Cooper-Shepard-Sod…
Stability and dynamical properties of Rosenau-Hyman compactons using Pade approximants
Bogdan Mihaila, Andres Cardenas, Fred Cooper +1
We present a systematic approach for calculating higher-order derivatives of smooth functions on a uniform grid using Padé approximants. We illustrate our findings by deriving high…
Stable structures with high topological charge in nonlinear photonic quasicrystals
K. J. H. Law, Avadh Saxena, P. G. Kevrekidis +1
Stable vortices with topological charge of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of 5 as well as 8 beams, in the cases…