Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities

Gadi Fibich, Xiao Ping Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

77 Scopus citations

Abstract

The stability of solitary waves for nonlinear Schrödinger equations with inhomogenous nonlinearities was discussed. As solitary waves are strongly unstable it was not possible to realize stable high-power propagation in a homogenous bulk media. It was suggested that stable high-power propagation could be achieved in plasma by sending a laser beam that created a channel with a reduced electron density.

Original languageEnglish
Pages (from-to)96-108
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume175
Issue number1-2
DOIs
StatePublished - 15 Jan 2003

Funding

FundersFunder number
RGC2000311, HKUST 6176/99P
United States-Israel Binational Science Foundation

    Keywords

    • Inhomogeneous nonlinearities
    • Nonlinear Schrödinger equation
    • Solitary waves
    • Stability

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