• Corpus ID: 118377112

The semiclassical limit of focusing NLS for a family of non-analytic initial data

@article{Jenkins2011TheSL,
  title={The semiclassical limit of focusing NLS for a family of non-analytic initial data},
  author={Robert Jenkins and Kenneth D T Mclaughlin},
  journal={arXiv: Analysis of PDEs},
  year={2011}
}
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales. The non self-adjoint scattering problem and ill-posed limiting Whitham equa- tions associated to focusing NLS make rigorous asymptotic results difficult. Previous studies [KMM03, TVZ04, TVZ06] have focused on special classes of analytic initial data for which the limiting elliptic Whitham… 

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