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

Ilhan O. A., Bulut H., Sulaiman T. A., Baskonus H. M.

INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, cilt.10, sa.1, ss.1-8, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.11121/ijocta.01.2020.00837
  • Dergi Adı: INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Communication Abstracts, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-8
  • Anahtar Kelimeler: The SGEM, Longitudinal wave equation, MEE circular rod, ELLIPTIC FUNCTION EXPANSION, SOLITON-SOLUTIONS, EXPLICIT, SYSTEMS
  • Erciyes Üniversitesi Adresli: Evet

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.