  The solutions of the Bogomolny equation in anti-de Sitter space-time are
obtained by using Darboux transformations with both constant spectral
parameters and variable "spectral parameters". These solutions give the
Yang-Mills-Higgs fields in anti-de Sitter space-time. Some examples in SU(2)
case are considered and qualitative asymptotic behaviors of the solutions as t
tends to infinity are discussed in detail.
