B\"acklund transformation for non-relativistic Chern-Simons vortices
P. A. Horvathy, J. C. Yera
TL;DR
This paper presents a Bäcklund transformation that generates static non-relativistic Chern-Simons vortices, providing a new mathematical tool for analyzing these vortex solutions.
Contribution
It introduces a novel Bäcklund transformation specifically for static non-relativistic Chern-Simons vortices, expanding the analytical methods available for these solutions.
Findings
Derivation of a Bäcklund transformation for the vortices
Application to static non-relativistic Chern-Simons solutions
Potential for generating new vortex configurations
Abstract
A B\"acklund transformation yielding the static non-relativistic Chern-Simons vortices of Jackiw and Pi is presented.
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