### 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 language | English (US) |
---|---|

Pages (from-to) | 402-408 |

Number of pages | 7 |

Journal | Physics Letters A |

Volume | 180 |

Issue number | 6 |

DOIs | |

State | Published - Sep 20 1993 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'On the fluid approximation to a nonlinear Schrödinger equation'. Together they form a unique fingerprint.

## Cite this

Ercolani, N., & Montgomery, R. (1993). On the fluid approximation to a nonlinear Schrödinger equation.

*Physics Letters A*,*180*(6), 402-408. https://doi.org/10.1016/0375-9601(93)90290-G