A FAMILY OF NONLINEAR SCHRÖDINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE

Physics – Quantum Physics

Scientific paper

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5 pages, LaTeX, Contribution to the proceedings of the XIII Workshop on Mathematical Methods in Physics, Bialowieza, July 9--1

Scientific paper

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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