Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2001-07-21
J.Math.Phys. 42 (2001) 4938-4946
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTeX, 11 pages, 8 figures
Scientific paper
The Yang-Mills-Higgs-Bogomolny equations in both 2+1 dimensional Minkowski space-time and 2+1 dimensional anti-de Sitter space-time are known to be integrable and their soliton solutions have already been obtained. In this paper we show that there is a natural relation between the Lax pairs and soliton solutions in these two space-times when the curvature changes from 0 to -1. The change of the asymptotic behaviors of the solitons are also discussed.
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