Self-focusing in the damped nonlinear Schrödinger equation

G. Fibich*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

90 Scopus citations


We analyze the effect of damping (absorption) on critical self-focusing. We identify a threshold value δth for the damping parameter δ such that when δ > δth damping arrests blowup. When δ < δth, the solution blows up at the same asymptotic rate as the undamped nonlinear Schrödinger equation.

Original languageEnglish
Pages (from-to)1680-1705
Number of pages26
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - 2001


  • Absorption
  • Blowup
  • Collapse
  • Critical power
  • Damping
  • Modulation theory
  • Singularity


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