Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities

Gadi Fibich, Xiao Ping Wang

Research output: Contribution to journalArticlepeer-review

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

Keywords

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

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