On the fluid approximation to a nonlinear Schrödinger equation

Nicholas Ercolani, Richard Montgomery

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We present a heuristic proof that the nonlinear Schrödinger equation (NLS) - iθ{symbol}Ψ θ{symbol}t= 1 2ΔΨ+ 1 2(1-|Ψ|2)Ψ in 2 + 1 dimensions has a family of solutions which can be well approximated by a collection of point vortices for a planar incompressible fluid. The novelty of our approach is that we begin with a representation of the NLS as a compressible perturbation of Euler's equations for hydrodynamics.

Original languageEnglish (US)
Pages (from-to)402-408
Number of pages7
JournalPhysics Letters A
Issue number6
StatePublished - Sep 20 1993

ASJC Scopus subject areas

  • General Physics and Astronomy


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