Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 5 (2009), 011, 10 pp.

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

SIGMA:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

SIGMA, 2009, Volume 5, 011, 10 pp. (Mi sigma357)

This article is cited in 4 scientific papers (total in 4 papers)

On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems

Maxim V. Pavlov^a, Ziemowit Popowicz^b

^a Department of Mathematical Physics, P. N. Lebedev Physical Institute of RAS, 53 Leninskii Ave., 119991 Moscow, Russia
^b Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204 Wroclaw, Poland

Abstract: The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.

Keywords: hydrodynamic-type system; dispersionless Lax representation

DOI: https://doi.org/10.3842/SIGMA.2009.011

Full text: PDF file (202 kB)
Full-text article is available

Full text: http://emis.mi.ras.ru/.../011

References: PDF file HTML file

Bibliographic databases:

ArXiv: 0901.4312
MSC: 37K10; 35Q53
Received: August 28, 2008; in final form January 20, 2009; Published online January 27, 2009
Language:

Citation: Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 5 (2009), 011, 10 pp.

Citation in format AMSBIB

\Bibitem{PavPop09}

\by Maxim V.~Pavlov, Ziemowit Popowicz

\paper On Integrability of a~Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems

\jour SIGMA

\yr 2009

\vol 5

\papernumber 011

\totalpages 10

\mathnet{http://mi.mathnet.ru/sigma357}

\crossref{https://doi.org/10.3842/SIGMA.2009.011}

\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2481481}

\zmath{https://zbmath.org/?q=an:1160.37398}

\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000267267900011}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896061920}

Linking options:

http://mi.mathnet.ru/eng/sigma357

http://mi.mathnet.ru/eng/sigma/v5/p11

SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:

Ismagil Habibullin, Mariya Poptsova, “Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings”, SIGMA, 13 (2017), 073, 26 pp.
M. N. Poptsova, I. T. Habibullin, “Algebraic properties of quasilinear two-dimensional lattices connected with integrability”, Ufa Math. J., 10:3 (2018), 86–105
Ufa Math. J., 11:3 (2019), 109–131
I. T. Habibullin, M. N. Kuznetsova, “A classification algorithm for integrable two-dimensional lattices via Lie–Rinehart algebras”, Theoret. and Math. Phys., 203:1 (2020), 569–581

Symmetry, Integrability and Geometry: Methods and Applications

Number of views:
This page:	194
Full text:	58
References:	21

What is a QR-code?

Registration

Logotypes