Harmonic maps, Backlund-Darboux transformations and "line soliton" analogs
Exactly Solvable and Integrable Systems
2007-05-23 v1 Differential Geometry
Abstract
Harmonic maps from or one-connected domain into and 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.
Keywords
Cite
@article{arxiv.nlin/0606052,
title = {Harmonic maps, Backlund-Darboux transformations and "line soliton" analogs},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:nlin/0606052},
year = {2007}
}