44 citations · 176 across the 20 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.PS2012★ 2 cited
Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
Y. Shen, P. G. Kevrekidis, N. Whitaker +2
We study matter-wave dark solitons in atomic Bose-Einstein condensates at finite temperatures, under the effect of linear and periodic potentials. Our model, namely a dissipative G…
math-ph2012★ 5 cited
Spatial solitons under competing linear and nonlinear diffractions
Y. Shen, P. G. Kevrekidis, N. Whitaker +1
We introduce a general model which augments the one-dimensional nonlinear Schrödinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new t…