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| SOME REMARKS ON SINGULAR DARBOUX TRANSFORMATIONS FOR UNITONS |
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Citation： |
GU Chaohao,HU Hesheng.SOME REMARKS ON SINGULAR DARBOUX TRANSFORMATIONS FOR UNITONS[J].Chinese Annals of Mathematics B,2001,22(3):263~266 |
| Page view： 1098
Net amount： 908 |
Authors： |
GU Chaohao; HU Hesheng |
Foundation： |
Project supported by the Special Funds for Major State Basic Research Project of China (Nonlinear
Science), the National Natural Science Foundation of China and the Foundation of the Commission
of Science and Technology of Shanghai. |
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| Abstract： |
In the paper [2] the authors de ned the singular Darboux transformations and established
an explicit formula for constructing unitons from a simply connected Riemann surface $M$ to
the group $U(N)$. The formula is obtained as a limit of an in nite consequence of Darboux
transformations through some renormalization procedure. In the present paper the authors
give a complete proof of the fact that the formula gives a global solution of harmonic maps
without singularity. |
Keywords： |
Uniton, Singular Darboux transformation, Renormalization |
Classification： |
53C20, 35Q58, 37J35 |
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