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The solutions of the Bogomolny equation in anti-de Sitter space-time areobtained by using Darboux transformations with both constant spectralparameters and variable "spectral parameters". These solutions give theYang-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 ttends to infinity are discussed in detail.Comment: LaTeX, 18 pages, 11 PS figure

Solutions of the Yang–Mills–Higgs equations in 2+1-dimensional anti-de Sitter space–time