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Abstract <p>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.</p>

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Group Properties of the Equations of Solid Deformation Mechanics with Nonlocal Coefficients

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • B. D. Annin,
  • S. I. Senashov

摘要

Abstract

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.