Self-focusing on bounded domains

Gadi Fibich*, Frank Merle

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


The critical nonlinear Schrödinger equation (NLS) on bounded domains models the propagation of cw laser beams in hollow-core fibers. Unlike the NLS on unbounded domains which models propagation in bulk media, the ground-state waveguide solutions are stable and the condition of critical power for singularity formation is generically sharp.

Original languageEnglish
Pages (from-to)132-158
Number of pages27
JournalPhysica D: Nonlinear Phenomena
Issue number1-2
StatePublished - 1 Jul 2001


FundersFunder number
United States-Israel Binational Science Foundation


    • Blowup
    • Collapse
    • Critical power
    • Hollow fiber
    • Nonlinear Schrödinger equation
    • Singularity formation
    • Stability
    • Waveguide


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