On the fluid approximation to a nonlinear Schrödinger equation

Nicholas M Ercolani, Richard Montgomery

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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
Volume180
Issue number6
DOIs
StatePublished - Sep 20 1993

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nonlinear equations
fluids
incompressible fluids
approximation
hydrodynamics
vortices
perturbation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

On the fluid approximation to a nonlinear Schrödinger equation. / Ercolani, Nicholas M; Montgomery, Richard.

In: Physics Letters A, Vol. 180, No. 6, 20.09.1993, p. 402-408.

Research output: Contribution to journalArticle

Ercolani, Nicholas M ; Montgomery, Richard. / On the fluid approximation to a nonlinear Schrödinger equation. In: Physics Letters A. 1993 ; Vol. 180, No. 6. pp. 402-408.
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