On the new wave behavior of the Magneto-Electro-Elastic(MEE) circular rod longitudinal wave equation


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İlhan O. A. , Bulut H., Sulaiman T. A. , Başkonuş H. M.

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), cilt.10, ss.1-8, 2020 (Hakemli Üniversite Dergisi)

  • Cilt numarası: 10 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.11121/ijocta.01.2020.00837
  • Dergi Adı: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
  • Sayfa Sayıları: ss.1-8

Özet

The analytical solution of the longitudinal wave equation in the MEE circular

rod is analyzed by the powerful sine-Gordon expansion method. Sine - Gordon

expansion is based on the well-known wave transformation and sine - Gordon

equation. In the longitudinal wave equation in mathematical physics, the trans-

verse Poisson MEE circular rod is caused by the dispersion. Some solutions

with complex, hyperbolic and trigonometric functions have been successfully

implemented. Numerical simulations of all solutions are given by selecting the

appropriate parameter values. The physical meaning of the analytical solution

explaining some practical physical problems is given.