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arxiv: quant-ph/9502014 · v1 · pith:K4RUUXBYnew · submitted 1995-02-16 · 🪐 quant-ph · hep-th

A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE

classification 🪐 quant-ph hep-th
keywords familytransformationsequationslinearizingnonlinearodingerrespectschr
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We examine a recently-proposed family of nonlinear Schr\"odinger equations [J. Phys. A: Math. Gen. 27:1771(1994)] with respect to a group of transformations that linearize a subfamily of them. We investigate the structure of the whole family with respect to the linearizing transformations, and propose a new, invariant parameterization.

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