Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media

Ozdemir N., SEÇER A., ÖZIŞIK M., Bayram M.

Heliyon, cilt.9, sa.1, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.heliyon.2023.e13015
  • Dergi Adı: Heliyon
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, CAB Abstracts, Food Science & Technology Abstracts, Veterinary Science Database, Directory of Open Access Journals
  • Anahtar Kelimeler: GPREM, The longitudinal wave equation, Truncated M-fractional derivative (t-MFD), Soliton
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this research paper, the generalized projective Riccati equations method (GPREM) is applied successfully to procure the soliton solutions of the local M-fractional longitudinal wave equation (LWE) arising in mathematical physics with dispersion caused by the transverse Poisson's effect in a magneto-electro-elastic circular rod (MEECR). Applying a wave transformation to the local M-fractional LWE, the equation can be turned into a set of algebraic equations. Solving the algebraic equation system, we procure the soliton solutions of the local M-fractional LWE. Both the obtained solution functions in the study and the graphical simulations depicted for these functions. It will assist researchers working in this field in the physical interpretation of this equation. Moreover, the reported solutions propose a rich platform to examine the local M-fractional LWE.