Group Properties of Equations of Solid Deformation Mechanics with Nonlocal Coefficients
B.D. Annin1, S.I. Senashov2
1Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
2Siberian State University of Science and Technology named after M.F. Reshetnev, Krasnoyarsk, Russia
Keywords: differential equations with nonlocal coefficients, vibrations of a nonlinear elastic plate
Abstract
The problem of group classification is solved for equations describing vibrations of a nonlinear elastic plate in a gas flow. Exact solutions of these equations are presented, which can be used as benchmarks for numerical solutions.
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