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Exact Solutions of the Generalized Richards Equation with Power-Law Nonlinearities

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Kosov A. A., Semenov E. I.

Журнал: Differential Equations

Язык публикации: english

Том: 56

Номера страниц: 1119-1129

Количество страниц: 11

Номер: 9

Год публикации: 2020

Отчетный год: 2020

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DOI: 10.1134/S0012266120090025

Аннотация: We consider a generalized Richards equation with power-law nonlinearities modeling filtration in porous media. Conditions are derived under which the problem can be reduced to the linear heat equation or to nonlinear equations with known solutions. The families of explicit exact solutions that can be expressed via elementary functions or Lambert's W-function are found. Some examples illustrating the results are given.

Индексируется WOS: Q3

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет