Construction of nonlinear quasimodes near elliptic periodic orbits

Pierre Albin, Hans Christianson, Jeremy L. Marzuola, Laurent Thomann

Research output: Contribution to journalArticlepeer-review

Abstract

We generalize to arbitrary manifolds with elliptic periodic geodesics a quasimode construction for the nonlinear Schrödinger equation first discovered by the last author.

Original languageEnglish (US)
Pages (from-to)409-425
Number of pages17
JournalPhysica D: Nonlinear Phenomena
Volume241
Issue number4
DOIs
StatePublished - Feb 15 2012

Keywords

  • Gaussian beams
  • Nonlinear Schrödinger equations
  • Quasimodes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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