activity
19992011
most citedEffects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation

60 citations · 192 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.PS2011★ 15 cited

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…

nlin.PS2009★ 43 cited

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…

nlin.PS2007★ 52 cited

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…

nlin.PS2001★ 60 cited

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…

cond-mat1999★ 22 cited

Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets

Y. Gaididei, T. Kamppeter, F. G. Mertens +1

In the 2-dimensional anisotropic Heisenberg model with XY-symmetry there are non-planar vortices which exhibit a localized structure of the z-components of the spins around the vor…