Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Lie-Bäcklund transformations for the Madelung quantum fluid

A. J. Purcell

Published Nov 15, 1984• 3 citations

Abstract

The Madelung quantum fluid is shown to possess an infinite sequence of Lie-B"acklund transformations; in addition, the effect of the lowest-order transformation on an exact solution of the fluid equations is explicitly calculated.

DOI: 10.1103/physrevd.30.2128

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