GROUP PROPERTIES OF EQUATIONS OF SOLID DEFORMATION MECHANICS WITH NONLOCAL COEFFICIENTS

GROUP PROPERTIES OF EQUATIONS OF SOLID DEFORMATION MECHANICS WITH NONLOCAL COEFFICIENTS Научная публикация

Журнал

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Вых. Данные

Год: 2025, Номер: 66, Страницы: 822–826 Страниц : DOI: 10.1134/S0021894425700373

Ключевые слова

differential equations with nonlocal coefficients, vibrations of a nonlinear elastic plate

Авторы

Annin B.D. ¹ , Senashov S.I. ²

Организации

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2	Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

The group classification problem is solved for equations describing the vibrations of a nonlinear elastic plate in gas flow. Exact solutions of these equations are given which can be used as test solutions in numerical calculations.

Annin B.D. , Senashov S.I.
GROUP PROPERTIES OF EQUATIONS OF SOLID DEFORMATION MECHANICS WITH NONLOCAL COEFFICIENTS
Journal of Applied Mechanics and Technical Physics. 2025. N66. P.822–826. DOI: 10.1134/S0021894425700373 WOS Scopus OpenAlex

АННИН Б.Д. , СЕНАШОВ С.И.
Групповые свойства уравнений механики деформирования твердого тела с нелокальными коэффициентами
Прикладная механика и техническая физика. 2025. Т.66. №4. С.219-224. DOI: 10.15372/PMTF202415552 OpenAlex

Поступила в редакцию:	13 июн. 2024 г.
Принята к публикации:	30 сент. 2024 г.
Опубликована в печати:	16 янв. 2026 г.

≡ Web of science:	WOS:001663661000010
≡ Scopus:	2-s2.0-105027732038
≡ OpenAlex:	W7124445214