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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

TMF, 2013, Volume 175, Number 2, Pages 173–177 (Mi tmf8437)  
This article is cited in 2 scientific papers (total in 2 papers)

Renormalization in the Cauchy problem for the Korteweg–de Vries equation

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Division, RAS, Yekaterinburg, Russia

Abstract: We consider the Cauchy problem for the Korteweg–de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. We construct an asymptotic solution of this problem by the renormalization method.

Keywords: Korteweg–de Vries equation, Cauchy problem, asymptotic solution, renormalization

DOI: https://doi.org/10.4213/tmf8437

Full text: PDF file (280 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2013, 175:2, 592–595

Bibliographic databases:

Received: 29.10.2012

Citation: S. V. Zakharov, “Renormalization in the Cauchy problem for the Korteweg–de Vries equation”, TMF, 175:2 (2013), 173–177; Theoret. and Math. Phys., 175:2 (2013), 592–595

Citation in format AMSBIB
\Bibitem{Zak13}
\by S.~V.~Zakharov
\paper Renormalization in the~Cauchy problem for the~Korteweg--de Vries equation
\jour TMF
\yr 2013
\vol 175
\issue 2
\pages 173--177
\mathnet{http://mi.mathnet.ru/tmf8437}
\crossref{https://doi.org/10.4213/tmf8437}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3172140}
\zmath{https://zbmath.org/?q=an:1286.76024}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2013TMP...175..592Z}
\elib{https://elibrary.ru/item.asp?id=20732607}
\transl
\jour Theoret. and Math. Phys.
\yr 2013
\vol 175
\issue 2
\pages 592--595
\crossref{https://doi.org/10.1007/s11232-013-0048-7}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000320371600003}
\elib{https://elibrary.ru/item.asp?id=20440727}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878791814}


Linking options:
  • http://mi.mathnet.ru/eng/tmf8437
  • https://doi.org/10.4213/tmf8437
  • http://mi.mathnet.ru/eng/tmf/v175/i2/p173

    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

    This publication is cited in the following articles:
    1. S. V. Zakharov, A. E. Elbert, “Modelling compression waves with a large initial gradient in the Korteweg–de Vries hydrodynamics”, Ufa Math. J., 9:1 (2017), 41–53  mathnet  crossref  isi  elib
    2. Alexander E. Elbert, Sergey V. Zakharov, “Dispersive rarefaction wave with a large initial gradient”, Ural Math. J., 3:1 (2017), 33–43  mathnet  crossref  mathscinet
    		• Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:221
    Full text:78
    References:24
    First page:11
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021