Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

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...

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Bibliographic Details
Published in:Modelirovanie i analiz informacionnyh sistem Vol. 22; no. 1; pp. 23 - 37
Main Author: Kudryashov, N. A.
Format: Journal Article
Language:English
Published: Yaroslavl State University 01-02-2015
Subjects:
exact solution
logistic function
nonlinear ordinary differential equation
nonlinear wave
painlevé test
Online Access:Get full text
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Summary: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.logistic function, nonlinear wave, nonlinear ordinary differential equation, Painlev´e test, exact solution
ISSN:1818-1015
2313-5417
DOI:10.18255/1818-1015-2015-1-23-37