Построение точных решений нелинейных уравнений математической физики с запаздыванием с помощью решений более простых уравнений без запаздывания
https://doi.org/10.1134/S2304487X20020108
Аннотация
Ключевые слова
нелинейные уравнения в частных производных с запаздыванием,
реакционно-диффузионные уравнения с переменными коэффициентами,
волновые уравнения с переменными коэффициентами,
точные решения в неявном виде,
решения с функциональным разделением переменных
При поддержке: Работа выполнена по теме государственного задания (№ госрегистрации AAAA-A20-120011690135-5) и при частичной финансовой поддержке Российского фонда фундаментальных исследований (проект № 18-29-10025)
Об авторах
А. Д. Полянин
Институт проблем механики им. А. Ю. Ишлинского РАН
Россия
Россия
119526
Москва
В. Г. Сорокин
Институт проблем механики им. А. Ю. Ишлинского РАН
Россия
Россия
119526
Москва
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Рецензия
Для цитирования:
Полянин А.Д., Сорокин В.Г. Построение точных решений нелинейных уравнений математической физики с запаздыванием с помощью решений более простых уравнений без запаздывания. Вестник НИЯУ МИФИ. 2020;9(2):115-128. https://doi.org/10.1134/S2304487X20020108
For citation:
Polyanin A.D., Sorokin V.G. Construction of Exact Solutions for Nonlinear Equations of Mathematical Physics with Delay Using Solutions of Simpler Equations without Delay. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2020;9(2):115-128. (In Russ.) https://doi.org/10.1134/S2304487X20020108
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