Applications of Darboux transformations to the self-dual Yang-Mills equations

Theoretical and Mathematical Physics Volume 122 Issue 2 Page 239-246 published_at 2000-02
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Title ( eng )
Applications of Darboux transformations to the self-dual Yang-Mills equations
Creator
Nimmo J. J. C.
Gilson C. R.
Ohta Yasuhiro
Source Title
Theoretical and Mathematical Physics
Volume 122
Issue 2
Start Page 239
End Page 246
Abstract
The linear problem associated with the self-dual Yang-Mills equations is covariant with respect to Darboux and binary Darboux transformations of almost classical type. This technique is used to construct solutions of the problem in the form of Wronskian-like and Gramm-like determinants. The self-dual conditions can be properly realized for only the latter type of solutions.
Language
eng
Resource Type journal article
Publisher
Springer
Date of Issued 2000-02
Rights
Copyright (c) 2000 Springer-Verlag. "The original publication is available at www.springerlink.com"
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0040-5779
[DOI] 10.1007/BF02551200
[NCID] AA00862735
[DOI] http://dx.doi.org/10.1007/BF02551200