New impressive representations for the soliton behaviors arising from the (2+1)-Boussinesq equation

Bekir A., ÇEVİKEL A. C., Zahran E. H.

Journal of Ocean Engineering and Science, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1016/j.joes.2022.05.036
  • Journal Name: Journal of Ocean Engineering and Science
  • Journal Indexes: Scopus
  • Keywords: The (2+1)-Boussinesq equation, The EDAM, The ESEM, The soliton solutions, The [Formula presented] -expansion method
  • Yıldız Technical University Affiliated: Yes


© 2022In the present work, we will detect unpredicted conducts “which weren't realized before” to the soliton solutions of the (2+1)-Boussinesq equation by using three distinct algorithms. The proposed equation is the famous nonlinear one which distinguishes the waves of coastal and ocean engineering that involve the nonlinearity and dispersion terms. Moreover, it is a developed form of the standard Boussinesq equation which describes the solution interaction mechanism of shallow-water waves that involve many waves and shallow water influences refraction, diffraction, shoaling and weak nonlinearity properties arising in fluid dynamics. It also plays principal role in many physics branches, such as propagation of long waves in shallow water, vibrations in a nonlinear string and ion sound waves in plasma and one-dimensional nonlinear lattice waves. The three algorithms that will select for this purpose are the ([Formula presented] -expansion method, the extended direct algebraic method (EDAM) and the extended simple equation method (ESEM). These three distinct manners are applied in the same time and parallel. We will show comparison between our new soliton solution behaviours with that constructed before.