Аннотация
We demonstrate that SDYM (self-dual Yang-Mills) equations for the Lie algebra of one-dimensional vector fields represent a natural reduction in the framework of a general linearly degenerate dispersionless hierarchy. We define the reduction in terms of wave functions and introduce a generating relation, Lax-Sato equations, and the dressing scheme for the reduced hierarchy. A multidimensional case is also discussed.
Язык оригинала | английский |
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Номер статьи | 093505 |
Число страниц | 13 |
Журнал | Journal of Mathematical Physics |
Том | 58 |
Номер выпуска | 9 |
DOI | |
Состояние | Опубликовано - 1 сен 2017 |