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Linearly degenerate hierarchies of quasiclassical SDYM type. / Bogdanov, L. V.; Pavlov, M. V.

In: Journal of Mathematical Physics, Vol. 58, No. 9, 093505, 01.09.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Bogdanov, LV & Pavlov, MV 2017, 'Linearly degenerate hierarchies of quasiclassical SDYM type', Journal of Mathematical Physics, vol. 58, no. 9, 093505. https://doi.org/10.1063/1.5004258

APA

Bogdanov, L. V., & Pavlov, M. V. (2017). Linearly degenerate hierarchies of quasiclassical SDYM type. Journal of Mathematical Physics, 58(9), [093505]. https://doi.org/10.1063/1.5004258

Vancouver

Bogdanov LV, Pavlov MV. Linearly degenerate hierarchies of quasiclassical SDYM type. Journal of Mathematical Physics. 2017 Sept 1;58(9):093505. doi: 10.1063/1.5004258

Author

Bogdanov, L. V. ; Pavlov, M. V. / Linearly degenerate hierarchies of quasiclassical SDYM type. In: Journal of Mathematical Physics. 2017 ; Vol. 58, No. 9.

BibTeX

@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",

}

RIS

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 -

ID: 9896330