Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 42–48
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-42-48 (Mi isu217) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Lie symmetry analysis and some new exact solutions for a variable coefficient modified Kortweg–de Vries equation arising in arterial mechanics

M. S. Abdel Latif

Astrakhan State University, Department of Applied Mathematics and Informatics
Full-text PDF (732 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-42-48
Abstract: In this paper, a variable-coefficient modified Korteweg–de Vries equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic function expansion method is used to solve the reduced ODE. Some new exact solutions for the considered PDE are obtained.
Key words: variable-coefficient modified Korteweg–de Vries equation, classical symmetries, generalized Jacobi elliptic function expansion method, exact solutions.
Document Type: Article
UDC: 517.957+512.81
Language: Russian
Citation: M. S. Abdel Latif, “Lie symmetry analysis and some new exact solutions for a variable coefficient modified Kortweg–de Vries equation arising in arterial mechanics”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 42–48
Citation in format AMSBIB
\Bibitem{Abd11}
\by M.~S.~Abdel Latif
\paper Lie symmetry analysis and some new exact solutions for a~variable coefficient modified Kortweg--de Vries equation arising in arterial mechanics
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 42--48
\mathnet{http://mi.mathnet.ru/isu217}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-42-48}
Linking options:
  • https://www.mathnet.ru/eng/isu217
  • https://www.mathnet.ru/eng/isu/v11/i2/p42
    • 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
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:294
    Full-text PDF :91
    References:42
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024