Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-11-11
J.Math.Phys. 42 (2001) 1085-1099
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTeX, 18 pages, 11 PS figures
Scientific paper
10.1063/1.1337799
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.
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