Publication: On general solutions of two nonlinear ordinary differential equations
Дата
2019
Авторы
Kudryashov, N. A.
Journal Title
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Volume Title
Издатель
Аннотация
© 2019 Author(s).A generalization of the simplest equation method for finding exact solutions is presented. The basic idea of the method is to use simplest equations with function that is found during the calculations. Using our algorithm we consider two types of nonlinear ordinary differential equations of the second and the third order. The method is applied for finding exact solutions and first integrals. The exact solutions of some nonlinear differential equations are found. It is shown that the most methods that were used to construct exact solutions for differential equations are included in suggested approach.
Описание
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Цитирование
Kudryashov, N. A. On general solutions of two nonlinear ordinary differential equations / Kudryashov, N.A. // AIP Conference Proceedings. - 2019. - 2116. - 10.1063/1.5114276
URI
https://www.doi.org/10.1063/1.5114276
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https://openrepository.mephi.ru/handle/123456789/18448
https://www.scopus.com/record/display.uri?eid=2-s2.0-85069970525&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000521108600272
https://openrepository.mephi.ru/handle/123456789/18448