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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2017, Number 3(19), Pages 10–19
DOI: https://doi.org/10.18454/2079-6641-2017-19-3-10-19 (Mi vkam208) 		 
MATHEMATICS

Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation

R.S. Hejazi, E. Lashkarian

Shahrood University of Technology
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DOI: https://doi.org/10.18454/2079-6641-2017-19-3-10-19
Abstract: The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation. The non-linear self-adjointness condition for the SK equation established and subsequently used to construct simplified independent conserved vectors. In particular, we also get conservation laws of the equation with the corresponding Lie symmetry.
Keywords: Fluid mechanics, Lie symmetry, Partial differential equation, Shear stress, Optimal system, Partial differential equation, KdV equation, Lie symmetry, Conservation Laws.
Received: 26.09.2017
Bibliographic databases:
Document Type: Article
UDC: 548.71
MSC: Primary 35R01; Secondary 76M60,17B66
Language: English
Citation: R.S. Hejazi, E. Lashkarian, “Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 3(19), 10–19
Citation in format AMSBIB
\Bibitem{HejLas17}
\by R.S.~Hejazi, E.~Lashkarian
\paper Conservation laws and symmetry analysis of (1+1)-dimensional Sawada-Kotera equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2017
\issue 3(19)
\pages 10--19
\mathnet{http://mi.mathnet.ru/vkam208}
\crossref{https://doi.org/10.18454/2079-6641-2017-19-3-10-19}
\elib{https://elibrary.ru/item.asp?id=30467943}
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