Linearly degenerate hierarchies of quasiclassical SDYM type

L. V. Bogdanov; M. V. Pavlov

doi:10.1063/1.5004258

Linearly degenerate hierarchies of quasiclassical SDYM type

L. V. Bogdanov, M. V. Pavlov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

8 Цитирования (Scopus)

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
Номер статьи	093505
Число страниц	13
Журнал	Journal of Mathematical Physics
Том	58
Номер выпуска	9
DOI	https://doi.org/10.1063/1.5004258
Состояние	Опубликовано - 1 сен 2017

Доступ к документу

10.1063/1.5004258

Link to publication in Scopus

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