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

J. J. C. Nimmo | Zendy; C. R. Gilson | Zendy; Y. Ohta | Zendy

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

Author(s) -

J. J. C. Nimmo,

C. R. Gilson,

Y. Ohta

Publication year - 2000

Publication title -

theoretical and mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.416

H-Index - 45

eISSN - 1573-9333

pISSN - 0040-5779

DOI - 10.1007/bf02551200

Subject(s) - dual (grammatical number) , covariant transformation , wronskian , mathematics , type (biology) , construct (python library) , binary number , algebra over a field , mathematical physics , yang–mills existence and mass gap , pure mathematics , computer science , gauge theory , art , ecology , literature , arithmetic , biology , programming language

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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