130 citations · 153 across the 2 of their papers we have counts for
6 papers
Three-dimensional matter-wave vortices in optical lattices
Tristram J. Alexander, Elena A. Ostrovskaya, Andrey A. Sukhorukov +1
We predict the existence of spatially localized nontrivial vortex states of a Bose-Einstein condensate with repulsive atomic interaction confined by a three-dimensional optical lat…
Asymmetric vortex solitons in nonlinear periodic lattices
Tristram J. Alexander, Andrey A. Sukhorukov, Yuri S. Kivshar
We reveal the existence of asymmetric vortex solitons in ideally symmetric periodic lattices, and show how such nonlinear localized structures describing elementary circular flows…
Multistep cascading and fourth-harmonic generation
Andrey A. Sukhorukov, Tristram J. Alexander, Yuri S. Kivshar +1
We apply the concept of multistep cascading to the problem of fourth-harmonic generation in a single quadratic crystal. We analyze a new model of parametric wave mixing and describ…
Multi-component optical solitary waves
Yuri S. Kivshar, Andrey A. Sukhorukov, Elena A. Ostrovskaya +5
We discuss several novel types of multi-component (temporal and spatial) envelope solitary waves that appear in fiber and waveguide nonlinear optics. In particular, we describe mul…
Nonlinear Modes of a Macroscopic Quantum Oscillator
Yuri S. Kivshar, Tristram J. Alexander, Sergey K. Turitsyn
We consider the Bose-Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe, analytically and numerically, its collective modes - a nonlinear gene…
Trapped Bose-Einstein Condensates: Role of Dimensionality
Yuri S. Kivshar, Tristram J. Alexander
We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose…