Geodesic
Applications of Darboux transformations to the self-dual Yang--Mills equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 284-293

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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. 
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     author = {J. C. Nimmo and C. R. Gilson and Ya. Ohta},
     title = {Applications of {Darboux} transformations to the self-dual {Yang--Mills} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a10/}
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J. C. Nimmo; C. R. Gilson; Ya. Ohta. Applications of Darboux transformations to the self-dual Yang--Mills equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 284-293. http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a10/