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

Abstract

We examine a recently-proposed family of nonlinear Schrödinger 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.

5 pages, LaTeX, Contribution to the proceedings of the XIII Workshop on Mathematical Methods in Physics, Bialowieza, July 9--15, 1994.