60 citations · 192 across the 5 of their papers we have counts for
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A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
Franz G. Mertens, Niurka R. Quintero, I. V. Barashenkov +1
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form . For the cas…
Nonlinear Schrödinger Equation with Spatio-Temporal Perturbations
Franz G. Mertens, Niurka R. Quintero, A. R. Bishop
We investigate the dynamics of solitons of the cubic Nonlinear Schrödinger Equation (NLSE) with the following perturbations: non-parametric spatio-temporal driving of the form $f(x…
Matter-wave solitons with a periodic, piecewise-constant nonlinearity
A. S. Rodrigues, P. G. Kevrekidis, Mason A. Porter +3
Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and st…
Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation
Guillermo Abramson, Alan R. Bishop, V. M. Kenkre
Memory effects in transport require, for their incorporation into reaction diffusion investigations, a generalization of traditional equations. The well-known Fisher's equation, wh…