Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
arXiv:0802.3244 · doi:10.1103/PhysRevD.77.127703
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.
4 pages, 4 figures, typos corrected