Recognition: unknown
A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schr\"odinger Equation
classification
✦ hep-th
cond-mat
keywords
self-dualformulationnonlinearodingerschrbogomoldimensionequation
read the original abstract
We obtain a self-dual formulation of the conventional nonlinear Schr\"odinger equation (NLSE) in the 1+1 dimension by studying the dimensional reduction of the self-dual Chern-Simons nonlinear Schr\"odinger 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.