Harmonic maps, Backlund-Darboux transformations and "line soliton" analogs
Alexander Sakhnovich
Abstract
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.
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