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

7 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

Fingerprint Подробные сведения о темах исследования «Linearly degenerate hierarchies of quasiclassical SDYM type». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{af4e660124f7414093d5553238f6bd49,

title = "Linearly degenerate hierarchies of quasiclassical SDYM type",

abstract = "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.",

keywords = "INTEGRABLE SYSTEMS, HEAVENLY EQUATION, HYDRODYNAMIC TYPE, DRESSING METHOD, CAUCHY-PROBLEM, REDUCTIONS",

author = "Bogdanov, {L. V.} and Pavlov, {M. V.}",

year = "2017",

month = sep,

day = "1",

doi = "10.1063/1.5004258",

language = "English",

volume = "58",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - Linearly degenerate hierarchies of quasiclassical SDYM type

AU - Bogdanov, L. V.

AU - Pavlov, M. V.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - INTEGRABLE SYSTEMS

KW - HEAVENLY EQUATION

KW - HYDRODYNAMIC TYPE

KW - DRESSING METHOD

KW - CAUCHY-PROBLEM

KW - REDUCTIONS

UR - http://www.scopus.com/inward/record.url?scp=85030148520&partnerID=8YFLogxK

U2 - 10.1063/1.5004258

DO - 10.1063/1.5004258

M3 - Article

AN - SCOPUS:85030148520

VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

M1 - 093505

ER -