Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. IMI UdGU:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2023, Volume 61, Pages 137–155
DOI: https://doi.org/10.35634/2226-3594-2023-61-08 (Mi iimi446) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues

A. B. Khasanova, U.A. Hoitmetovb, Sh. Q. Sobirovb

a Samarkand State University, University boulvard, 15, Samarkand, 140104, Uzbekistan
b Urgench State University, ul. Khamida Alimdjana, 14, Urgench, 220100, Uzbekistan
Full-text PDF (194 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.35634/2226-3594-2023-61-08
Abstract: In this paper, we consider the Cauchy problem for the non-stationary modified Korteweg–de Vries equation with an additional term and a self-consistent source in the case of moving eigenvalues. Also, the evolution of the scattering data of the Dirac operator is obtained, the potential of which is the solution of the loaded modified Korteweg–de Vries equation with a self-consistent source in the class of rapidly decreasing functions. Specific examples are given to illustrate the application of the obtained results.
Keywords: Gelfand–Levitan–Marchenko integral equation, system of Dirac equations, Jost solutions, scattering data.
Received: 30.12.2022
Accepted: 17.04.2023
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 37K15
Language: English
Citation: A. B. Khasanov, U.A. Hoitmetov, Sh. Q. Sobirov, “Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues”, Izv. IMI UdGU, 61 (2023), 137–155
Citation in format AMSBIB
\Bibitem{KhaHoiSob23}
\by A.~B.~Khasanov, U.A.~Hoitmetov, Sh.~Q.~Sobirov
\paper Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues
\jour Izv. IMI UdGU
\yr 2023
\vol 61
\pages 137--155
\mathnet{http://mi.mathnet.ru/iimi446}
\crossref{https://doi.org/10.35634/2226-3594-2023-61-08}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001005574800008}
Linking options:
  • https://www.mathnet.ru/eng/iimi446
  • https://www.mathnet.ru/eng/iimi/v61/p137
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
    Statistics & downloads:
    Abstract page:179
    Full-text PDF :106
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024