Abundant traveling wave solutions of 3+1 dimensional Boussinesq equation with dual dispersion

Creative Commons License

SAN S., Altunay R.

Revista Mexicana de Fisica E, cilt.19, sa.2, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.31349/revmexfise.19.020203
  • Dergi Adı: Revista Mexicana de Fisica E
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: exact solutions, Jacobi elliptic function method, solitary wave solutions
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2022 Sociedad Mexicana de Fisica. All rights reserved.In this study, we consider (3+1)-dimensional Boussinesq equation with dual dispersion. It appears in many models of nonlinear problem such as ocean ecology, weather forecast, wave motion and ocean engineering. We applied the Jacobi elliptic function expansion method in order to construct dark soliton, bright soliton and trigonometric solutions. Depending on the structure of the auxiliary equation F0 p = PF4 + QF2 + R,a wide variety of solutions are obtained when special values are given to P; Q;R. Besides, the figures for some solutions are given. The resulting outcomes verify that the referred method is valid and reliable for analytical technique of an extensive application of nonlinear phenomena.