Dispersive blow up for nonlinear Schroedinger equations revisited

@inproceedings{Bona2013DispersiveBU,
  title={Dispersive blow up for nonlinear Schroedinger equations revisited},
  author={Jerry L. Bona and Jean-Claude Saut and Gustavo Ponce and Christof Sparber},
  year={2013}
}
The possibility of finite-time, dispersive blow up for nonlinear equations of Schroedinger type is revisited. This mathematical phenomena is one of the possible explanations for oceanic and optical rogue waves. In dimension one, the possibility of dispersive blow up for nonlinear Schroedinger equations already appears in [9]. In the present work, the existing results are extended in several ways. In one direction, the theory is broadened to include the Davey-Stewartson and Gross-Pitaevskii… CONTINUE READING
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