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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
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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}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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