Enviar artigo por via de e-mail On a Nonlinear Second-Order Ordinary Differential Equation
- Autores: Kosov A.A1, Semenov E.I1
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Afiliações:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033, Russia
- Edição: Volume 59, Nº 1 (2023)
- Páginas: 138-141
- Seção: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144906
- DOI: https://doi.org/10.31857/S0374064123010120
- EDN: https://elibrary.ru/ODHRIB
- ID: 144906
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Texto integral
Resumo
We consider a nonlinear second-order ordinary differential equation of a special form whose particular case arises when constructing exact solutions of the nonlinear heat equation with a power-law coefficient. Conditions are obtained for the parameters under which the equation admits a single integration. A number of examples of constructing exact solutions expressed in terms of elementary functions or in terms of the Lambert function are given.
Sobre autores
A. Kosov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033, Russia
Email: kosov_idstu@mail.ru
E. Semenov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033, Russia
Autor responsável pela correspondência
Email: edwseiz@gmail.com
Bibliografia
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- Полянин А.Д., Зайцев В.Ф. Нелинейные уравнения математической физики: в 2 ч. Ч. 1. М., 2017.
- Полянин А.Д., Зайцев В.Ф. Справочник по обыкновенным дифференциальным уравнениям. М., 2001.
- Дубинов А.Е., Дубинова И.Д., Сайков С. W-функция Ламберта и её применение в математических задачах физики. Саров, 2006.
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