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

dc.creatorSakhnovich, Alexander
dc.date2006-06-20
dc.date.accessioned2026-07-07T07:18:33Z
dc.date.available2026-07-07T07:18:33Z
dc.descriptionHarmonic maps from $\BR^2$ or one-connected domain $Ø\subset \BR^2$ into $GL(m, \BC)$ 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.
dc.identifierhttps://arxiv.org/abs/nlin/0606052
dc.identifierhttp://arxiv.org/abs/nlin/0606052
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 15379-15390
dc.identifierdoi:10.1088/0305-4470/39/50/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114343
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDifferential Geometry
dc.titleHarmonic maps, Backlund-Darboux transformations and "line soliton" analogs
dc.typetext

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