Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
High Energy Physics - Theory
2011-02-11 v4
Abstract
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation. The equation can be translated into the Abel's differential equation of the second kind and is an algebraic differential equation.
Keywords
Cite
@article{arxiv.0802.3244,
title = {Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation},
author = {Hironobu Kihara},
journal= {arXiv preprint arXiv:0802.3244},
year = {2011}
}
Comments
4 pages, 4 figures, typos corrected