Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 2, Pages 52–62 (Mi vuu13)  
This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

Basis of differential invariants of symmetry group of Green–Naghdi equations

N. V. Lyubashevskaya, A. P. Chupakhin

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (616 kB) Citations (2)
References:
PDF
HTML
Abstract: System of Green–Naghdi equations describing long wave propagation on fluid surface is considered. Extensions of operator of Lie algebra of these equations, the differential invariants and the operators of invariant differentiation are calculated. The theorem about the basis of the differential invariants ie proved. In addition, the dependence between the differential invariants is described.
Keywords: Green–Naghdi equation, differential invariants, operators of invariant differentiation, basis of differential invariants.
Received: 10.10.2008
Document Type: Article
UDC: 517.9
MSC: 35Q35, 53A55, 76M60
Language: Russian
Citation: N. V. Lyubashevskaya, A. P. Chupakhin, “Basis of differential invariants of symmetry group of Green–Naghdi equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 52–62
Citation in format AMSBIB
\Bibitem{LyuChu09}
\by N.~V.~Lyubashevskaya, A.~P.~Chupakhin
\paper Basis of differential invariants of symmetry group of Green--Naghdi equations
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2009
\issue 2
\pages 52--62
\mathnet{http://mi.mathnet.ru/vuu13}
Linking options:
  • https://www.mathnet.ru/eng/vuu13
  • https://www.mathnet.ru/eng/vuu/y2009/i2/p52
    • 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
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Statistics & downloads:
    Abstract page:347
    Full-text PDF :242
    References:48
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024