On the semiclassical limit of the focusing nonlinear Schrödinger equation

@inproceedings{Miller1998OnTS,
  title={On the semiclassical limit of the focusing nonlinear Schr{\"o}dinger equation},
  author={Peter D. Miller and Spyridon Kamvissis},
  year={1998}
}
We present numerical experiments that provide new strong evidence of the existence of the semiclassical limit for the focusing nonlinear Schrödinger equation in one space dimension. Our experiments also address the spatiotemporal structure of the limit. Like in the defocusing case, the semiclassical limit appears to be characterized by sharply delimited regions of space-time containing multiphase wave microstructure. Unlike in the defocusing case, the macroscopic dynamics seem to be governed by… CONTINUE READING