Some new soliton solutions for the nonlinear the fifth-order integrable equations

Lakestanı M., Manafian J., Najafizadeh A. R., Partohaghighi M.

Computational Methods for Differential Equations, cilt.10, sa.2, ss.445-460, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.22034/cmde.2020.30833.1462
  • Dergi Adı: Computational Methods for Differential Equations
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.445-460
  • Anahtar Kelimeler: Fifth-order integrable equations, Improved tanh(ϕ/2)-expansion method, Soliton wave solution
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this work, we established some exact solutions for the (1 + 1)-dimensional and (2 + 1)-dimensional fifth-order integrable equations ((1 + 1)D and (2 + 1)D FOIEs) which is considered based on the improved tanh(ϕ(ξ)/2)expansion method (IThEM), by utilizing Maple software. We obtained new periodic solitary wave solutions. The obtained solutions include soliton, periodic, kink, kink-singular wave solutions. Comparing our new results with Wazwaz results, namely, the Hereman-Nuseri method shows that our results give further solutions. Many other such types of nonlinear equations arise in fluid dynamics, plasma physics, and nonlinear physics.