Geodesic
Method of the logistic function for finding analytical solutions of nonlinear differential equations
Modelirovanie i analiz informacionnyh sistem, Tome 22 (2015) no. 1, pp. 23-37

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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
Mots-clés : exact solution. 
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     author = {N. A. Kudryashov},
     title = {Method of the logistic function for finding analytical solutions of nonlinear differential equations},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2015_22_1_a1/}
}
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N. A. Kudryashov. Method of the logistic function for finding analytical solutions of nonlinear differential equations. Modelirovanie i analiz informacionnyh sistem, Tome 22 (2015) no. 1, pp. 23-37. http://geodesic.mathdoc.fr/item/MAIS_2015_22_1_a1/