Geodesic
Yang--Mills--Higgs soliton dynamics in $2+1$ dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 3, pp. 339-350

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Dimensional reduction of the self-dual Yang–Mills equation in $2+2$ dimensions produces an integrable Yang–Mills–Higgs–Bogomolnyi equation in $2+1$ dimensions. For the ${\mathrm SU}(1,1)$ gauge group, a t'Hooft-like ansatz is used to construct a monopole-like solution and an $N$-soliton-type solution, which describes both the static deformed monopoles and the exotic monopole dynamics including a transmutation. How the monopole solution results from the twistor formalism is shown. Multimonopole solutions are commented on. 
@article{TMF_1998_117_3_a0,
     author = {B. S. Getmanov and P. M. Sutcliffe},
     title = {Yang--Mills--Higgs soliton dynamics in $2+1$ dimensions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {339--350},
     publisher = {mathdoc},
     volume = {117},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_3_a0/}
}
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B. S. Getmanov; P. M. Sutcliffe. Yang--Mills--Higgs soliton dynamics in $2+1$ dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 3, pp. 339-350. http://geodesic.mathdoc.fr/item/TMF_1998_117_3_a0/