Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations

D. C. Roberts, A. C. Newell

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We prove the finite-time collapse of a system of N classical fields, which are described by N coupled nonlinear Schrödinger equations. We derive the conditions under which all of the fields experiences this finite-time collapse. Finally, for two-dimensional systems, we derive constraints on the number of particles associated with each field that are necessary to prevent collapse.

Original languageEnglish (US)
Article number047602
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number4
DOIs
StatePublished - Oct 23 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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