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Three dimensional reductions of four-dimensional quasilinear systems. / Pavlov, Maxim V.; Stoilov, Nikola M.

In: Journal of Mathematical Physics, Vol. 58, No. 11, 111510, 01.11.2017.

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

Harvard

Pavlov, MV & Stoilov, NM 2017, 'Three dimensional reductions of four-dimensional quasilinear systems', Journal of Mathematical Physics, vol. 58, no. 11, 111510. https://doi.org/10.1063/1.5006601

APA

Pavlov, M. V., & Stoilov, N. M. (2017). Three dimensional reductions of four-dimensional quasilinear systems. Journal of Mathematical Physics, 58(11), [111510]. https://doi.org/10.1063/1.5006601

Vancouver

Pavlov MV, Stoilov NM. Three dimensional reductions of four-dimensional quasilinear systems. Journal of Mathematical Physics. 2017 Nov 1;58(11):111510. doi: 10.1063/1.5006601

Author

Pavlov, Maxim V. ; Stoilov, Nikola M. / Three dimensional reductions of four-dimensional quasilinear systems. In: Journal of Mathematical Physics. 2017 ; Vol. 58, No. 11.

BibTeX

@article{721ac872533b464f9a8dcb03ac0f9fc1,
title = "Three dimensional reductions of four-dimensional quasilinear systems",
abstract = "In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to twodimensional hydrodynamic reductions in a generic case.",
keywords = "HYDRODYNAMIC-TYPE, INTEGRABILITY, EQUATIONS",
author = "Pavlov, {Maxim V.} and Stoilov, {Nikola M.}",
year = "2017",
month = nov,
day = "1",
doi = "10.1063/1.5006601",
language = "English",
volume = "58",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "11",

}

RIS

TY - JOUR

T1 - Three dimensional reductions of four-dimensional quasilinear systems

AU - Pavlov, Maxim V.

AU - Stoilov, Nikola M.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to twodimensional hydrodynamic reductions in a generic case.

AB - In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to twodimensional hydrodynamic reductions in a generic case.

KW - HYDRODYNAMIC-TYPE

KW - INTEGRABILITY

KW - EQUATIONS

UR - http://www.scopus.com/inward/record.url?scp=85036546683&partnerID=8YFLogxK

U2 - 10.1063/1.5006601

DO - 10.1063/1.5006601

M3 - Article

AN - SCOPUS:85036546683

VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

M1 - 111510

ER -

ID: 9648377