Transformation theory for anti-self-dual equations
نویسندگان
چکیده
منابع مشابه
Anti-self-dual Yang-Mills equations on noncommutative spacetime
By replacing the ordinary product with the so called ⋆-product, one can construct an analogue of the anti-self-dual Yang-Mills (ASDYM) equations on the noncommutative R4. Many properties of the ordinary ASDYM equations turn out to be inherited by the ⋆-product ASDYM equation. In particular, the twistorial interpretation of the ordinary ASDYM equations can be extended to the noncommutative R 4, ...
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In this paper, we show that various noncommutative integrable equations can be derived from noncommutative anti-self-dual Yang-Mills equations in the split signature, which include noncommutative versions of Korteweg-de Vries, Non-Linear Schrödinger, N -wave, Davey-Stewartson and Kadomtsev-Petviashvili equations. U(1) part of gauge groups for the original Yang-Mills equations play crucial roles...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1983
ISSN: 0034-5318
DOI: 10.2977/prims/1195182443