GROUP PROPERTIES OF EQUATIONS OF SOLID DEFORMATION MECHANICS WITH NONLOCAL COEFFICIENTS

GROUP PROPERTIES OF EQUATIONS OF SOLID DEFORMATION MECHANICS WITH NONLOCAL COEFFICIENTS Full article

Journal

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

Output data

Year: 2025, Number: 66, Pages: 822–826 Pages count : DOI: 10.1134/S0021894425700373

Tags

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

Authors

Annin B.D. ¹ , Senashov S.I. ²

Affiliations

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

Submitted:	Jun 13, 2024
Accepted:	Sep 30, 2024
Published print:	Jan 16, 2026

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