Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns

  title={Two-Component 3D Atomic Bose-Einstein Condensates Support Complex Stable Patterns},
  author={Nicolas Boull'e and I. Newell and Patrick E. Farrell and P. G. Kevrekidis},
We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr¨odinger type. While our computations relate to two-component atomic Bose-Einstein condensates in parabolic traps, our methods can be broadly applied to high-dimensional, nonlinear systems of partial dif-ferential equations. The combination of the so-called deflation technique with a careful selection of initial guesses… 
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