• Corpus ID: 59158378

On the so-called rogue waves in the nonlinear Schr\"odinger equation

  title={On the so-called rogue waves in the nonlinear Schr\"odinger equation},
  author={Y. Charles Li},
  journal={arXiv: Fluid Dynamics},
  • Y. C. Li
  • Published 2 November 2015
  • Mathematics
  • arXiv: Fluid Dynamics
The mechanism of a rogue water wave is still unknown. One pop- ular conjectureis that the Peregrine wave solution of the nonlinearSchrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be ob- tained by taking the infinite spatial period limit to the homoclinic solutions. In this article, from the perspective of the phase space structure of these ho- moclinic orbits in the infinite dimensional phase space where the NLS defines a dynamical system, we exam the observability… 

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