摘要
Exact analytic solutions of the kink soliton equation obtained in a recent interesting study of the classical Skyrme model defined on a simple spherically symmetric background are presented. By a variational method, the existence of spherically symmetric monopole solutions are proved. In particular, all finite-energy kink solitons must be Bogomool'nyi-Prasad-Sommerfield are showed. Moreover, together with numerical analysis, we can clearly see the validity of our theoretical results.