Modeling of dark solitons for nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod

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Durur H., Yokuş A., Kaya D., Ahmad H.

Sound and Vibration, cilt.55, sa.3, ss.241-251, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.32604/sv.2021.014157
  • Dergi Adı: Sound and Vibration
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, Environment Index, Metadex, Pollution Abstracts, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.241-251
  • Anahtar Kelimeler: (1, G')-expansion method, sub equation method, exact solution, traveling wave solution, nonlinear evolution equations
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, sub equation and ð1=G’Þ]expansion methods are proposed to construct exact solutions of a nonlinear longitudinal wave equation (LWE) in a magneto-electro-elastic circular rod. The proposed methods have been used to construct hyperbolic, rational, dark soliton and trigonometric solutions of the LWE in the magneto-electro-elastic circular rod. Arbitrary values are given to the parameters in the solutions obtained. 3D, 2D and contour graphs are presented with the help of a computer package program. Solutions attained by symbolic calculations revealed that these methods are effective, reliable and simple mathematical tool for finding solutions of nonlinear evolution equations arising in physics and nonlinear dynamics.