Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izv. Akad. Nauk SSSR Ser. Mat., 1991, Volume 55, Issue 5, Pages 991–1006 (Mi izv978)  

This article is cited in 2 scientific papers (total in 2 papers)

Breaking solitons. VI. Extension of systems of hydrodynamic type

O. I. Bogoyavlenskii


Abstract: Systems of differential equations, admitting the Lax representation and extending the systems of hydrodynamic type, connected with the Volterra model and Toda lattice, are presented. A construction of differential operator equations with derivatives of arbitrary order with respect to the variables $t$ and $y$ and possessing a reduction preserving the eigenvalues of the corresponding operator $L$ is suggested. Dynamical systems having a Lax representation and generalizing the Toda lattice are constructed. A construction of integrable Euler equations admitting a Lax representation with $n$ independent spectral parameters and connected with $n$ Riemann surfaces is found.

Full text: PDF file (3097 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1992, 39:2, 959–973

Bibliographic databases:

UDC: 517.91
MSC: 35Q51, 76B25
Received: 06.05.1991

Citation: O. I. Bogoyavlenskii, “Breaking solitons. VI. Extension of systems of hydrodynamic type”, Izv. Akad. Nauk SSSR Ser. Mat., 55:5 (1991), 991–1006; Math. USSR-Izv., 39:2 (1992), 959–973

Citation in format AMSBIB
\Bibitem{Bog91}
\by O.~I.~Bogoyavlenskii
\paper Breaking solitons. VI.~Extension of systems of hydrodynamic type
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 5
\pages 991--1006
\mathnet{http://mi.mathnet.ru/izv978}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1149885}
\zmath{https://zbmath.org/?q=an:0789.35141}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39..959B}
\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 2
\pages 959--973
\crossref{https://doi.org/10.1070/IM1992v039n02ABEH002233}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992JZ92300002}


Linking options:
  • http://mi.mathnet.ru/eng/izv978
  • http://mi.mathnet.ru/eng/izv/v55/i5/p991

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    This publication is cited in the following articles:
    1. Zhenyun Qin, Ruguang Zhou, “A (2+1)-dimensional breaking soliton equation associated with the Kaup–Newell soliton hierarchy”, Chaos, Solitons & Fractals, 21:2 (2004), 311  crossref
    2. Zhao Song-Lin, Zhang Da-Jun, Ji Jie, “Exact Solutions for Two Equation Hierarchies”, Chinese Phys Lett, 27:2 (2010), 020201  crossref  isi
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:460
    Full text:95
    References:55
    First page:2

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021