Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation

@article{Charalampidis2019BifurcationAO,
  title={Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation},
  author={Efstathios G. Charalampidis and Nicolas Boull{\'e} and Pe E. Farrell and Panayotis G. Kevrekidis},
  journal={ArXiv},
  year={2019},
  volume={abs/1912.00023}
}
  • Efstathios G. Charalampidis, Nicolas Boullé, +1 author Panayotis G. Kevrekidis
  • Published in ArXiv 2019
  • Physics, Computer Science, Mathematics
  • Recently, a novel bifurcation technique known as the deflated continuation method (DCM) was applied to the single-component nonlinear Schrodinger (NLS) equation with a parabolic trap in two spatial dimensions. The bifurcation analysis carried out by a subset of the present authors shed light on the configuration space of solutions of this fundamental problem in the physics of ultracold atoms. In the present work, we take this a step further by applying the DCM to two coupled NLS equations in… CONTINUE READING

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