Страница публикации

О точных решениях обобщенного уравнения Ричардса со степенными нелинейностями

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Косов А.А., Семенов Э.И.

Журнал: Дифференциальные уравнения

Язык публикации: russian

Том: 56

Номера страниц: 1153-1163

Количество страниц: 11

Номер: 9

Год публикации: 2020

Отчетный год: 2020

Переводная версия: {"id":5746,"authors":"Kosov A. A., Semenov E. I.","authors_count":2,"title":"Exact Solutions of the Generalized Richards Equation with Power-Law Nonlinearities","journal":"Differential Equations","year":2020,"reportYear":2020,"volume":"56","number":"9","month":null,"url":"","pages":"1119-1129","address":"","type":"\u0422\u0435\u043a\u0441\u0442","publisher":"","edition":"","language":"english","classification":"\u0421\u0442\u0430\u0442\u044c\u0438 \u0432 \u0437\u0430\u0440\u0443\u0431\u0435\u0436\u043d\u044b\u0445 \u0438 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u043d\u044b\u0445 \u0436\u0443\u0440\u043d\u0430\u043b\u0430\u0445","annotation":"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.","published_at":null,"doi":"10.1134\/S0012266120090025","is_to_print":0,"is_special":0,"is_wos":1,"is_scopus":1,"is_risc":0,"is_editable":0,"publication_type_id":1,"added_by_rb_user_id":null,"notes":"","created_at":"2020-10-21 03:21:53","updated_at":"2021-07-02 03:52:05","translated_id":5912,"quartile":"Q3","series":"","is_vak":0,"conference":null,"is_public_pdf":0,"eid":null,"wosid":null,"quartile_scopus":null,"report_type":null,"speaker":0,"is_wl":0,"quartile_wl":null,"count_pages":11,"date_event_start":null,"date_event_end":null,"location_event":null,"lvl_event":null,"link_event":null,"title_event":null,"is_affiliation_idstu":null,"is_expert_opinion":null,"quartile_vak":null,"id_author_reference":null,"is_cr":null,"quartile_cr":null,"registration_number":null}

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