Страница публикации

Функция Ламберта и точные решения нелинейных параболических уравнений

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Косов А.А., Семенов Э.И.

Журнал: Известия высших учебных заведений. Математика

Язык публикации: russian

Номера страниц: 13-20

Количество страниц: 8

Номер: 8

Год публикации: 2019

Отчетный год: 2019

Переводная версия: {"id":5045,"authors":"Kosov A.A., Semenov E.I.","authors_count":2,"title":"The Lambert Function and Exact Solutions of Nonlinear Parabolic Equations","journal":"Russian Mathematics","year":2019,"reportYear":2019,"volume":"63","number":"8","month":null,"url":"","pages":"10-16","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":"In this paper, we consider diffusion equations with a power-type coefficient and nonlinear source. We pay the main attention to constructing exact solutions in terms of the Lambert function. We subject the source function to certain conditions that guarantee the existence of exact solutions of a given type. For illustrating the obtained results, we give several examples of exact solutions to nonlinear diffusion equations, including those with polynomial and fractional-rational source functions.","published_at":null,"doi":"10.3103\/S1066369X19080024","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":"2019-09-27 01:08:35","updated_at":"2019-10-09 02:44:00","translated_id":null,"quartile":"Q5","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":7,"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}

DOI: 10.26907/0021-3446-2019-8-13-20

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет