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



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Mat. Zametki, 2007, Volume 82, Issue 4, Pages 501–503 (Mi mz3806)  

This article is cited in 6 scientific papers (total in 6 papers)

Superposition Formulas for Vector Generalizations of the mKdV Equation

M. Yu. Balakhnev

Orel State University

Abstract: Using the Bäcklund transformations, we obtain superposition formulas for vector generalizations of the mKdV equation.

Keywords: modified Korteweg–de Vries equation, Bäcklund transformation, superposition formula, quasilocal variables

DOI: https://doi.org/10.4213/mzm3806

Full text: PDF file (324 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2007, 82:4, 448–450

Bibliographic databases:

UDC: 517.958
Received: 23.03.2006

Citation: M. Yu. Balakhnev, “Superposition Formulas for Vector Generalizations of the mKdV Equation”, Mat. Zametki, 82:4 (2007), 501–503; Math. Notes, 82:4 (2007), 448–450

Citation in format AMSBIB
\Bibitem{Bal07}
\by M.~Yu.~Balakhnev
\paper Superposition Formulas for Vector Generalizations of the mKdV Equation
\jour Mat. Zametki
\yr 2007
\vol 82
\issue 4
\pages 501--503
\mathnet{http://mi.mathnet.ru/mz3806}
\crossref{https://doi.org/10.4213/mzm3806}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2375784}
\zmath{https://zbmath.org/?q=an:1156.35456}
\elib{http://elibrary.ru/item.asp?id=9575599}
\transl
\jour Math. Notes
\yr 2007
\vol 82
\issue 4
\pages 448--450
\crossref{https://doi.org/10.1134/S0001434607090180}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000250565600018}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36048977878}


Linking options:
  • http://mi.mathnet.ru/eng/mz3806
  • https://doi.org/10.4213/mzm3806
  • http://mi.mathnet.ru/eng/mz/v82/i4/p501

    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. M. Yu. Balakhnev, “Superposition formulas for integrable vector evolution equations”, Theoret. and Math. Phys., 154:2 (2008), 220–226  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Balakhnev M. Ju., “Superposition formulas for integrable vector evolutionary equations on a sphere”, J. Nonlinear Math. Phys., 15:1 (2008), 104–116  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. A. G. Meshkov, “Vector hyperbolic equations with higher symmetries”, Theoret. and Math. Phys., 161:2 (2009), 1471–1484  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Math. Notes, 89:2 (2011), 184–193  mathnet  crossref  crossref  mathscinet  isi
    5. Balakhnev M.Yu., Demskoi D.K., “Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld–Sokolov systems”, Appl. Math. Comput., 219:8 (2012), 3625–3637  crossref  mathscinet  zmath  isi  elib  scopus
    6. Liu P., Li B., Yang J.-R., “Residual Symmetries of the Modified Korteweg-de Vries Equation and Its Localization”, Cent. Eur. J. Phys., 12:8 (2014), 541–553  crossref  isi  scopus
  • Математические заметки Mathematical Notes
    Number of views:
    This page:244
    Full text:64
    References:43
    First page:3

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019