Harmonic maps, Backlund-Darboux transformations and "line soliton" analogs

الأصل · EN

Harmonic maps from ² or one-connected domain Ø⊂ ² into GL(m,) and U(m) are treated. The GBDT version of the Bäcklund-Darboux 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.