Analytical solutions to new forms of two nonlinear partial differential equations via two variable expansion method

Kara S., ÜNSAL Ö.

Partial Differential Equations in Applied Mathematics, cilt.5, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.padiff.2021.100210
  • Dergi Adı: Partial Differential Equations in Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: (G′/G,1/G) -expansion method, A new form of the (2+1)-dimensional BKP equation, A new form of the (3+1)-dimensional BKP-Boussinesq equation, Analytical solutions
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2021What is the significance of constructing analytical solutions by using the (G′/G,1/G)-expansion method for the considered equations? In order to contribute to answer of this question, purpose of this study has been built on attaining new exact solutions of a new form of the (2+1)-dimensional BKP equation and a new form of the (3+1)-dimensional BKP-Boussinesq equation by the (G′/G,1/G)-expansion method which was proved to be powerful and helpful process in deriving exact solutions of partial differential equations arise in mathematical physics and some other areas. Nonlinear equations solved in this paper model shallow water waves. It is known that the concept of water waves is an important branch of physics.