Yang-Mills-Higgs soliton dynamics in 2+1 dimensions

Dimensional reduction of the self-dual Yang-Mills equation in 2 + 2 dimensi ons produces an integrable Yang-Mills-Higgs-Bogomolnyi equation in 2 + 1 di mensions. For the SU(1, 1) gauge soup, a t'Hooft-like ansatz is used to con struct a monopole-like solution and an N-soliton-type solution, which descr ibes both the static deformed monopoles and the exotic monopole dynamics in cluding a transmutation. How the monopole solution results from the twister formalism is shown. Multimonopole solutions are commented on.