Chebyshevskii Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Chebyshevskii Sbornik, 2023, Volume 24, Issue 2, Pages 266–275
DOI: https://doi.org/10.22405/2226-8383-2023-24-2-266-275 (Mi cheb1319) 		 
This article is cited in 2 scientific papers (total in 2 papers)

BRIEF MESSAGES

Integration of the KdV equation of negative order with a free term in the class of periodic functions

M. M. Khasanov, I. D. Rakhimov

Urganch State University (Urganch)
Full-text PDF (524 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.22405/2226-8383-2023-24-2-266-275
Abstract: In this paper, we consider the KdV equation of negative order with a free term in the class of periodic functions. It is shown that the KdV equation of negative order with a free term in the class of periodic functions can be integrated by the method of the inverse spectral problem. The evolution of the spectral data of the Sturm–Liouville operator with a periodic potential associated with the solution of a negative-order KdV equation with a free term in the class of periodic functions is determined. The results obtained make it possible to apply the inverse problem method to the solution of the KdV equation of negative order with a free term in the class of periodic functions.
Keywords: KdV of negative order, self-consistent source, inverse spectral problem, Dubrovin–Trubovits system of equations.
Received: 13.02.2023
Accepted: 14.06.2023
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. M. Khasanov, I. D. Rakhimov, “Integration of the KdV equation of negative order with a free term in the class of periodic functions”, Chebyshevskii Sb., 24:2 (2023), 266–275
Citation in format AMSBIB
\Bibitem{KhaRak23}
\by M.~M.~Khasanov, I.~D.~Rakhimov
\paper Integration of the KdV equation of negative order with a free term in the class of periodic functions
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 2
\pages 266--275
\mathnet{http://mi.mathnet.ru/cheb1319}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-2-266-275}
Linking options:
  • https://www.mathnet.ru/eng/cheb1319
  • https://www.mathnet.ru/eng/cheb/v24/i2/p266
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:89
    Full-text PDF :33
    References:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024