Solitary wave solitons to one model in the shallow water waves

İLHAN O. A., Manafian J., Baskonus H. M., Lakestani M.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.136, sa.3, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 136 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1140/epjp/s13360-021-01327-w
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Erciyes Üniversitesi Adresli: Evet

Özet

The current study utilizes the generalized tan(K(rho)/2)-expansion method, the generalized tanh-coth method and He's semi-inverse variational method in constructing various soliton and other solutions to the (2+1)-dimensional coupled variant Boussinesq equations which describes the elevation of water wave surface for slowly modulated shallow water waves in lakes and ocean beaches. The system represents collision of a nonlinear wave propagating along y-axis and long wave along x-axis. The integration mechanism that was adopted is modified direct algebraic method, which extracts different solitons (dark and singular) and combo (dark-singular) solitons for different values of parameters. The existence criteria for solitons production is also established for both Kerr and power nonlinearities. Additionally, some other solutions known as singular periodic and rational are also emerged in the process of derivation