Nineteen vortex equations and integrability
SB Gudnason - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
The class of five integrable vortex equations discussed recently by Manton is extended so it
includes the relativistic BPS Chern–Simons vortices, yielding a total of nineteen vortex …
includes the relativistic BPS Chern–Simons vortices, yielding a total of nineteen vortex …
Elizabethan vortices
M Dunajski, N Gavrea - Nonlinearity, 2023 - iopscience.iop.org
Radial solutions to the elliptic Sinh–Gordon and Tzitzeica equations can be interpreted as
Abelian vortices on certain surfaces of revolution. These surfaces have a conical excess …
Abelian vortices on certain surfaces of revolution. These surfaces have a conical excess …
Analytic Approach for Computation of Topological Number of Integrable Vortex on Torus
K Miyamoto, A Nakamula - arXiv preprint arXiv:2403.18264, 2024 - arxiv.org
An analytic method to calculate the vortex number on a torus is constructed, focusing on
analytic vortex solutions to the Chern-Simons-Higgs theory, whose governing equation is …
analytic vortex solutions to the Chern-Simons-Higgs theory, whose governing equation is …