Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2015, Volume 11, Number 1, Pages 45–62
DOI: https://doi.org/10.15407/mag11.01.045 (Mi jmag609) 		 
On Integration of One Class of Systems of Lax-Type Equations

A. A. Lunyova, E. V. Oliynykb

a Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., Donetsk 83114, Ukraine
b V. N. Karazin Kharkiv National University, 4, Svobody Sq., Kharkiv 61022, Ukraine
Full-text PDF (205 kB)
References:
PDF
HTML
DOI: https://doi.org/10.15407/mag11.01.045
Abstract: A nonlinear system of Lax-type equations is studied. The system is the basis of the construction of triangular models for commutative systems of linear non-selfadjoint bounded operators. Some of its solutions for $n=4$ are described. In one of the cases, the general solution is explicitly expressed in terms of special (elliptic) functions.
Key words and phrases: triangular models, nonlinear differential equations, commutative systems of linear non-selfadjoint operators.
Received: 12.02.2013
Revised: 15.05.2014
Bibliographic databases:
Document Type: Article
MSC: 47A48, 47N20, 34G20
Language: English
Citation: A. A. Lunyov, E. V. Oliynyk, “On Integration of One Class of Systems of Lax-Type Equations”, Zh. Mat. Fiz. Anal. Geom., 11:1 (2015), 45–62
Citation in format AMSBIB
\Bibitem{LunOli15}
\by A.~A.~Lunyov, E.~V.~Oliynyk
\paper On Integration of One Class of Systems of Lax-Type Equations
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2015
\vol 11
\issue 1
\pages 45--62
\mathnet{http://mi.mathnet.ru/jmag609}
\crossref{https://doi.org/10.15407/mag11.01.045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364165}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350430800003}
Linking options:
  • https://www.mathnet.ru/eng/jmag609
  • https://www.mathnet.ru/eng/jmag/v11/i1/p45
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:159
    Full-text PDF :55
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024