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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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2015-02-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/229 |
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| _version_ | 1850023941967446016 |
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| author | N. A. Kudryashov |
| author_facet | N. A. Kudryashov |
| author_sort | N. A. Kudryashov |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-46d89680626d486a9e9df78125c03e84 |
| institution | DOAJ |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-46d89680626d486a9e9df78125c03e842025-08-20T03:01:14ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-01221233710.18255/1818-1015-2015-1-23-37222Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential EquationsN. A. Kudryashov0National Research Nuclear University MEPHIThe 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 solutionhttps://www.mais-journal.ru/jour/article/view/229logistic functionnonlinear wavenonlinear ordinary differential equationpainlevé testexact solution |
| spellingShingle | N. A. Kudryashov Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations Моделирование и анализ информационных систем logistic function nonlinear wave nonlinear ordinary differential equation painlevé test exact solution |
| title | Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations |
| title_full | Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations |
| title_fullStr | Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations |
| title_full_unstemmed | Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations |
| title_short | Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations |
| title_sort | method of the logistic function for finding analytical solutions of nonlinear differential equations |
| topic | logistic function nonlinear wave nonlinear ordinary differential equation painlevé test exact solution |
| url | https://www.mais-journal.ru/jour/article/view/229 |
| work_keys_str_mv | AT nakudryashov methodofthelogisticfunctionforfindinganalyticalsolutionsofnonlineardifferentialequations |