79 citations · 172 across the 20 of their papers we have counts for
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Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns
N. Boullé, I. Newell, P. E. Farrell +1
We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{…
Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
N. Boullé, E. G. Charalampidis, P. E. Farrell +1
We present previously unknown solutions to the 3D Gross--Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited…
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
E. G Charalampidis, N. Boullé, P. E. Farrell +1
Recently, a novel bifurcation technique known as the deflated continuation method (DCM) was applied to the single-component nonlinear Schrödinger (NLS) equation with a parabolic tr…