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

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

2006-06-20

arxiv.org/abs/nlin/0606052v1

J. Phys. A: Math. Gen. 39 (2006) 15379-15390

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/0305-4470/39/50/006

Harmonic maps from $\BR^2$ or one-connected domain ${\O}\subset \BR^2$ into $GL(m, \BC)$ and $U(m)$ are treated. The GBDT version of the B\"acklund-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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