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Modelirovanie i Analiz Informatsionnykh Sistem, 2015, Volume 22, Number 1, Pages 23–37 (Mi mais426)  
This article is cited in 1 scientific paper (total in 1 paper)

Method of the logistic function for finding analytical solutions of nonlinear differential equations

N. A. Kudryashov

National Research Nuclear University MEPHI, 115409 Russian Federation, Moscow, Kashirskoe shosse, 31
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Abstract: The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions obtained by this method are presented. These solutions are expressed via exponential functions.
Keywords: logistic function, nonlinear wave, nonlinear ordinary differential equation, Painlevé test, exact solution.
Received: 26.12.2014
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: English
Citation: N. A. Kudryashov, “Method of the logistic function for finding analytical solutions of nonlinear differential equations”, Model. Anal. Inform. Sist., 22:1 (2015), 23–37
Citation in format AMSBIB
\Bibitem{Kud15}
\by N.~A.~Kudryashov
\paper Method of the logistic function for finding analytical solutions of nonlinear differential equations
\jour Model. Anal. Inform. Sist.
\yr 2015
\vol 22
\issue 1
\pages 23--37
\mathnet{http://mi.mathnet.ru/mais426}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3417810}
\elib{https://elibrary.ru/item.asp?id=23237967}
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    • This publication is cited in the following 1 articles:
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