Quasi-linear dynamics in nonlinear Schrödinger equation with periodic boundary conditions

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that a large subset of initial data with finite energy (L 2 norm) evolves nearly linearly in nonlinear Schrödinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, semiclassical or weakly linear solutions.

Original languageEnglish (US)
Pages (from-to)655-673
Number of pages19
JournalCommunications in Mathematical Physics
Volume281
Issue number3
DOIs
StatePublished - Aug 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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