Analyzing study for the 3D potential Yu–Toda–Sasa–Fukuyama equation in the two-layer liquid medium

Ismael H. F., OKUMUŞ İ., Aktürk T., Bulut H., Osman M.

Journal of Ocean Engineering and Science, vol.9, no.5, pp.454-460, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1016/j.joes.2022.03.017
  • Journal Name: Journal of Ocean Engineering and Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.454-460
  • Keywords: (m+1/G′)-expansion method, Adomian decomposition method, Complex solutions
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

In this work, we use the (m+1/G′)-expansion method and the Adomian decomposition method to study the 3D potential Yu–Toda–Sasa–Fukuyama (3D-pYTSF) equation which has a good application in the two-layer liquid medium. For the first time, the (m+1/G′)-expansion and the Adomian decomposition methods are used to establish novel exact wave solutions and to study some numerical solutions for the 3D-pYTSF equation, respectively. Through using the analytical method, kink-type wave, singular solution and some complex solutions to the suggested equation are successfully revealed. The obtained wave solutions are represented with some figures in 3D and contour plots.