Harmonic maps, Bäcklund-Darboux transformations and ”line soliton” analogs
نویسنده
چکیده
Harmonic maps from R2 or one-connected domain Ø ⊂ R2 into GL(m, C) and U(m) are treated. The GBDT version of the BäcklundDarboux transformation is applied to the case of the harmonic maps. A new general formula on the GBDT transformations of the Sym-Tafel immersions is derived. A class of the harmonic maps similar in certain ways to line-solitons is obtained explicitly and studied. MSC2000: 53C43; 35Q51
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