Novel solitary wave solutions to the fractional new (3+1)-dimensional Mikhailov-Novikov-Wang equation

Gençyiǧit M., Şenol M., Kurt A., TAŞBOZAN O.

International Journal of Geometric Methods in Modern Physics, cilt.21, sa.4, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219887824500816
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: conformable derivative, exp(-φ (ζ))-expansion method, fractional (3+1)-dimensional Mikhailov-Novikov-Wang equation, generalized (G′/G)-expansion method, modified extended tanh-function method, Modified Kudryashov method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

This paper addresses the new (3+1)-dimensional Mikhailov-Novikov-Wang (MNW) equation with arbitrary order derivative and presents novel exact solutions of it by implementing exp(-φ(ζ))-expansion, modified Kudryashov, generalized (G′/G)-expansion, and modified extended tanh-function methods. This equation emphasizes significant connection between the integrability and water waves' phenomena. Employing the conformable derivative definition, a variety of soliton (bright, dark, anti-kink) solutions of the model are obtained. Therefore, it would appear that these approaches might yield noteworthy results in producing the exact solutions to the fractional differential equations in a wide range. In addition, 2D, 3D, and contour plots of the solutions are drawn for specific values to demonstrate the physical behaviors of the solutions.