PoS - Proceedings of Science
Volume 394 - RDP online workshop "Recent Advances in Mathematical Physics" (Regio2020) - Session 5
Bogomolny equations from the Pseudoanalytic Functions Viewpoint
T. Supatashvili
Full text: pdf
Published on: April 23, 2021
In the following paper we are going to study a special kind of solitons, called vortices. We will define the topological number for them, called the vortex number. Switching to complex variables and using a different approach from the one used by Jaffe and Taubes in the famous monograph "Vortices and monopoles", 1980, in particular, using the theorems known in pseudoanalytic function theory, we construct the vortex solutions of the field equations for our problem and write out the vortex numbers for them that will be characterized by the zeroes of each possible solution.
DOI: https://doi.org/10.22323/1.394.0015
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.