A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation
arXiv:hep-th/9612028 · doi:10.1016/S0370-2693(97)00519-4
Abstract
We obtain a self-dual formulation of the conventional nonlinear Schrödinger equation (NLSE) in the 1+1 dimension by studying the dimensional reduction of the self-dual Chern-Simons nonlinear Schrödinger model (NLSM) in the 2+1 dimension. It is found that this self-dual formulation allows us to find not only the well-known soliton solutions from the Bogomol'nyi bound and the Galilean boost, but also other soliton solutions in the presence of the background sources.
11 pages, Latex, A revised version with title change
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