Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 2, Pages 333–357
DOI: https://doi.org/10.1070/IM1992v038n02ABEH002202 (Mi im1013) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals

P. I. Plotnikov
English version PDF (1476 kB) Citations (24)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1992v038n02ABEH002202
Abstract: The problem of solitary waves on the surface of an ideal fluid is considered. By means of a variational principle it is shown that for an infinite set of values of the Froude number this problem has at least two geometrically distinct solutions. Sufficient conditions are formulated for the existence of bifurcations of degenerate critical points of one-parameter families of smooth functionals defined in a normed space.
Received: 13.11.1989
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 2, Pages 339–366
Bibliographic databases:
UDC: 517.9+532.5
MSC: 76B25, 35Q51
Language: English
Original paper language: Russian
Citation: P. I. Plotnikov, “Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points of smooth functionals”, Izv. Akad. Nauk SSSR Ser. Mat., 55:2 (1991), 339–366; Math. USSR-Izv., 38:2 (1992), 333–357
Citation in format AMSBIB
\Bibitem{Plo91}
\by P.~I.~Plotnikov
\paper Nonuniqueness of solutions of the problem of solitary waves and bifurcation of critical points
of smooth functionals
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 2
\pages 339--366
\mathnet{http://mi.mathnet.ru/im1013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1133302}
\zmath{https://zbmath.org/?q=an:0795.76017}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..333P}
\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 2
\pages 333--357
\crossref{https://doi.org/10.1070/IM1992v038n02ABEH002202}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HR86300006}
Linking options:
  • https://www.mathnet.ru/eng/im1013
  • https://doi.org/10.1070/IM1992v038n02ABEH002202
  • https://www.mathnet.ru/eng/im/v55/i2/p339
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:566
    Russian version PDF:181
    English version PDF:31
    References:102
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024