Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 1, Pages 50–63
DOI: https://doi.org/10.4213/tmf9460 (Mi tmf9460) 		 
The AKNS hierarchy and finite-gap Schrödinger potentials

V. S. Oganesyan

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (430 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9460
Abstract: We consider the AKNS hierarchy and find the necessary and sufficient conditions for functions $p$ and $q$ to become solutions of the AKNS hierarchy. Using the functions $p$ and $q$, we construct finite-gap Schrödinger potentials.
Keywords: matrix commuting differential operator, AKNS hierarchy, finite-gap Schrödinger potential.
Funding agency Grant number
Russian Science Foundation 16-11-10260
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10260).
Received: 05.09.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 1, Pages 983–995
DOI: https://doi.org/10.1134/S004057791807005X
Bibliographic databases:
MSC: 37K10
Language: Russian
Citation: V. S. Oganesyan, “The AKNS hierarchy and finite-gap Schrödinger potentials”, TMF, 196:1 (2018), 50–63; Theoret. and Math. Phys., 196:1 (2018), 983–995
Citation in format AMSBIB
\Bibitem{Oga18}
\by V.~S.~Oganesyan
\paper The~AKNS hierarchy and finite-gap Schr\"odinger potentials
\jour TMF
\yr 2018
\vol 196
\issue 1
\pages 50--63
\mathnet{http://mi.mathnet.ru/tmf9460}
\crossref{https://doi.org/10.4213/tmf9460}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3833544}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018TMP...196..983O}
\elib{https://elibrary.ru/item.asp?id=35276530}
\transl
\jour Theoret. and Math. Phys.
\yr 2018
\vol 196
\issue 1
\pages 983--995
\crossref{https://doi.org/10.1134/S004057791807005X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000440809300005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85051065077}
Linking options:
  • https://www.mathnet.ru/eng/tmf9460
  • https://doi.org/10.4213/tmf9460
  • https://www.mathnet.ru/eng/tmf/v196/i1/p50
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024