Five-dimensional monopole equation with hedgehog ansatz and Abel's differential equation

Hironobu Kihara
2008 Physical Review D  
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.
doi:10.1103/physrevd.77.127703 fatcat:6xpzyoaqbrgmxiofhibabsdgk4