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| EXPLICIT CONSTRUCTION OF HARMONIC MAPS FROM R2 TO U(N) |
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Citation： |
Gu Chaohao,Hu Hesheng.EXPLICIT CONSTRUCTION OF HARMONIC MAPS FROM R2 TO U(N)[J].Chinese Annals of Mathematics B,1995,16(2):139~152 |
| Page view： 1132
Net amount： 708 |
Authors： |
Gu Chaohao; Hu Hesheng |
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| Abstract： |
Darboux transformation method is used for
constructing harmonic maps from $R^2$ to $U(N)$. The explicit
expressions for Darboux matrices are used to obtain new harmonic maps
from a known one. The algorithm is purely algebraic and can be
repeated successively to obtain an infinite sequence of harmonic
maps. Single and multiple solitons are obtained with geometric
characterizations and it is proved that the interaction between
solitons is elastic. By introducing the singular Darboux
transformations, an explicit method to construct new unitons is presented. |
Keywords： |
Harmonic map, Explicit construction, Darboux transformation method |
Classification： |
58E20 |
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